Fill in the blanks:

(i) The probability of an impossible event is...

(ii) The probability of a sure event is ..... .

(iii) For any event E, P(E) + P(not E) = .....

(iv) The probability of a possible but not a sure event lies between and ..... .

(v) The sum of probabilities of the outcomes of an experiment is..... .

A coin is tossed once. What is the probability of getting a tail?

Two coins are tossed simultaneously. Find the probability of getting

(i) Exactly 1 head

(ii) At most 1 head

(iii) At least 1 head

A die is thrown once. Find the probability of getting

(i) An even number

(ii) A number less than 5

(iii) A number greater than 2

(iv) A number between 3 and 6

(v) A number other than 3

(vi) The number 5.

A letter of English alphabet is chosen at random. Determine the probability that the chosen letter is a consonant.

A child has a die whose 6 faces show the letter given below:

The die is thrown once. What is the probability of getting (i) A, (ii) D?

It is known that a box of 200 electric bulbs contains 16 defective bulbs. One bulb is taken out at random from the box. What is probability that the bulb drawn is (i) defective, (ii) non-defective?

If the probability of winning a game is 0.7, what is the probability of losing it?

There are 35 students in a class of whom 20 are boys and 15 are girls. From these students one is chosen at random. What is the probability that the chosen student is a (i) boy, (ii) girl?

In a lottery there are 10 prizes and 25 blanks. What is the probability of getting a prize?

250 lottery tickets were sold and there are 5 prizes on these tickets. If Kunal has purchased one lottery ticket, what is the probability that he wins a prize?

17 cards numbered 1, 2, 3, 4, ....., 17 are put in a box and mixed thoroughly. A card is drawn bears (i) an old numbers (ii) a number divisible by 5.

A game of chance consist of spinning an arrow, which comes to rest pointing at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8 and these are equally likely outcomes. Find the probability that the arrow will point at any factor of 8.

In a family of 3 children, find the probability of having at least one boy.

A bag contains 5 red balls, 4 white balls, 2 black balls and 4 green balls. A ball is drawn at random from the big. Find the probability that it is (i) black, (ii) not green, (iii) red or white, (iv) neither red nor green.

A card is drawn at random from a well-shuffled pack of 52 cards. Find the probability of getting (i) a red king, (ii) a queen or a jack.

A card is drawn at random from a well-shuffled pack of 52 cards. Find the probability that the drawn card is neither a king nor a queen.

A card is drawn from a well-shuffled pack of 2 cards. Find the probability of getting (i) a red face card, (ii) a black king.

Two different dice are tossed together. Find the probability that (i) the number on each die is even, (ii) the sum of the numbers appearing on two dice is 5.

Two difference dice are rolled simultaneously. Find the probability that the sum of the numbers on the two dice is 10.

When two dice are tossed together, find the probability that the sum of numbers on their tops is less than 7.

Two dice are rolled together. Find the probability of getting such numbers on the two dice whose product is a perfect square.

Two dice are rolled together. Find the probability of getting such numbers on the two dice whose product is 12.

Cards marked with numbers 5 to 50 are placed in a box and mixed thoroughly. A card is drawn from the box at random. Find the probability that the number on the taken out card is (i) a prime number less than 10, (ii) a number which is a perfect square.

A game of chance consists of spinning an arrow which is equally likely to come to rest pointing to one of the numbers 1, 2, 3, ...., 12 as shown in the figure. What is the probability that it will point to

(i) 6?, (ii) an even number, (iii) a prime number, (iv) a number which is a multiple of 5 ?

12 defective pens are accidently mixed 132 good ones. It is not possible to just look at pen and tell whether or not it is defective. One pen is taken out at random from this lot. Find the probability that the pen taken out is good one.

A lot consists of 144 ballpoint pens of which 20 are defective and others good. Tanvy will buy a pen if it is good, but will not buy it if it is defective. The shopkeeper draws one pen at random and gives it to her. What is the probability that (i) she will buy it, (ii) she will not buy it?

A box contains 90 discs which are numbered from 1 to 90. If one disc is drawn at random from the box, find the probability that it bears (i) a two-digit number, (ii) a perfect square number, (iii) a number divisible by 5.

A lot of 20 bulbs contain 4 defective ones. One bulb is drawn at random from a lot. What is the probability that this bulb is defective?

Suppose the bulb drawn in (i) is not defective and not replaced. Now, bulb is drawn at random from the rest. What is the probability that this bulb is not defective?

A bag contains lemon-flavoured candies only. Hema takes out one candy without looking into the bag. What is the probability that she takes out (i) an orange-flavoured candy? (ii) a lemon-flavoured candy?

There are 40 students in a class of whom 25 are girls and 15 are boys. The class teacher has to select one student as a class representative. He writes the name of each student on a separate card, the cards being identical. Then, she puts cards in a bag and sites them thoroughly. She then draws one card from the bag. What is the probability that the name written on the card is the name of (i) a girl? (ii) a boy?

One card is drawn from a well-shuffled deck of 52 cards. Find the probability of drawing (i) an ace, (ii) a ‘4’ of a spades, (iii) a’9’ of a black suit, (iv) a red king.

A card is drawn at random from a well-shuffled deck of 52 cards. Find the probability of getting (i) a queen, (ii) a diamond, (iii) a king or an ace, (iv) a red ace.

One card is drawn from well-shuffled deck of 52 cards. Find the probability of getting (i) a king of red suit, (ii) a face card, (iii) a red face card, (iv) a queen of black suit, (v) a jack of hearts, (vi) a spade.

A card is drawn at random from a well-shuffled deck of playing cards. Find the probability that the card drawn is (i) a card of spades or an ace, (ii) a red king, (iii) either a king a queen, (iv) neither a king nor a queen.

A box contains 25 cards numbered from 1 to 25. A card is drawn at random from the bag. Find the probability that the number on the drawn card is (i) divisible by 2 or 3, (ii) a prime number.

A box contains cards numbered 3, 5, 7, 9, ...., 35, 37. A card is drawn at random from the box. Find the probability that the number on the card is a prime number.

Cards numbered 1 to 30 are put in a bag. Find the probability that the number on the drawn card is (i) not divisible by 3, (ii) a prime number greater than 7, (iii) not a perfect square number.

Cards bearing numbers 1, 3, 5, ....., 35 are kept in a bag. A card is drawn at random from the bag. Find the probability of getting a card bearing (i) a prime number less than 15, (ii) a prime number divisible by 3 and 5.

A box contains cards bearing numbers 6 to 70. If one card is drawn at random from the box, find the probability that it bears (i) a one-digit number, (ii) a number divisible by 5, (iii) an odd number less than 30, (iv) a composite number between 50 and 70.

Cards marked with numbers 1, 3, 5, ....., 101 are placed in a bag and mixed thoroughly. A card is drawn at random from the bag. Find the probability that the number on the drawn card is (i) less than 19, (ii) a prime number less than 20.

Tickets numbered 2, 3, 4, 5, ..... 100, 101 are placed in a box and mixed thoroughly. One ticket is drawn at random from the box. Find the probability that the number on the ticket is

(i) an even number

(ii) a number less than 16

(iii) a number which is a perfect square

(iv) a prime number less than 40.

A box contains 80 discs, which are numbered from 1 to 80. If one disc is drawn at random from the box, find the probability that it bears a perfect square number.

A piggy bank contains hundred 50-p coins, seventy RS. 1 coin, fifty RS. 2 coins thirty RS. 5 coins. If it is equally likely that one of the coins will fall out when the bank is turned upside down, what is the probability that the coin (i) will be a RS. 1 coin? (ii) will not be a RS. 5 coin (iii) will be 50-p or a RS. 2 coin?

A bag contains 18 balls out of which x balls are red.

(i) If one ball is drawn at random from the bag, what is the probability that it is not red?

(ii) IF two more red balls are put in the bag, the probability of drawing a red ball will be times the probability of drawing a red ball in the first case. Find the value of x.

A jar contains 24 marbles. Some of these are green and others are blue. If a marble is drawn at random from the jar, the probability that it is green is . Find the number of blue marbles in the jar.

A jar contains 54 marbles, each of which some are blue, some are green and some are white. The probability of selecting a blue marble at random is and the probability of selecting a green marble at random is . How many white marble does the jar contain?

A carton consists of 100 shirts of which 88 are good are 8 have minor defects. Rohit, a trader, will only accept that shirts which are good. But kamal, an another trader, will only reject the shirts which have major defects. One shirt is drawn at random from the carton. What is the probability that it is acceptable to (i) Rohit, (ii) Kamal?

A group consists of 12 person, of which 3 are extremely patient, other 6are extremely honest and rest extremely kind. A person from the group is selected at random. Assuming that each person who is (i) extremely patient, (ii) extremely kind or honest. Which of the above values you prefer more?

A die is rolled twice. Find the probability that

(i) 5 will not come up either time,

(ii) 5 will come up exactly one time,

(iii) Let E be the event of getting 5 on both the dice

Two dice are rolled once. Find the probability of getting such numbers on two dice whose product is a perfect square.

A letter is chosen at random from the letters of the word ‘ASSOCIATION’. Find the probability that the chosen letter is a (i) vowel, (ii) consonant, (iii) an S.

Five cards-the ten, jack, queen, king and ace of diamonds are well shuffled with their faces downwards. One card is then picked up at random. (a) What is the probability that the drawn card is the queen? (b) If the queen is drawn and put aside and a second card is drawn, find the probability that he second card is (i) an ace, (ii) a queen.

A card is drawn at random a well shuffled pack of 2 cards. Find the probability that the card drawn is neither a red card nor a queen.

What is the probability that an ordinary year has 53 Mondays?

All red face cards are removed from a pack of playing cards. The remaining cards are well shuffled and then a card is drawn at random from them. Find the probability that the drawn card is (i) a red card, (ii) a face card, (iii) a card of clubs.

All kings, queens and aces are removed from a pack of 52 cards. The remaining cards are well-shuffled and then a card is drawn from it. Find the probability that the drawn card is (i) a black face card, (ii) a red card.

A game consists of tossing a one-rupee coin three times, and nothing its outcome each time. Find the probability of getting (i) three heads, (ii) at least 2 tails.

Find the probability that a leap year selected at random will contain 53 Sundays.

If P(E) denotes the probability of an event E then

If the probability of occurrence of an event is P then the probability of non-happening of this event is

What is the probability of an impossible event?

What is the probability of a sure event?

Which of the following cannot be the probability of an event?

A number is selected at random from the numbers 1 to 30. What is the probability that the selected number is a prime number?

The probability that a number selected at random from the number 1, 2, 3, ....., 15 is a multiple of 4 is

A box contains cards numbered 6 to 50. A card is drawn at random from the box. The probability that the drawn card has a number which is a perfect square is

A box contains 90 discs, numbered from 1 to 90. If one disc is drawn at random from the box, the probability that it bears prime number less than 23 is

Cards bearing numbers 2, 3, 4, ....., 11 are kept in a bag. The probability of getting a card with a prime number is

One ticket is drawn at random from a big containing tickets numbered 1 to 40. The probability that the selected ticket has a number, which is a multiple of 7, is

Which of the following cannot be the probability of an event?

If the probability of winning a game is 0.4 then the probability of losing it, is

If an event cannot occur then its probability is

There are 20 tickets numbered as 1, 2, 3, ...., 20 respectively. One ticket is drawn at random. What is the probability that the number on the ticket drawn is a multiple of 5?

There are 25 tickets numbered as 1, 2, 3, 4, ....., 25 respectively. One ticket is drawn at random. What is the probability that the number on the ticket is a multiple of 3 or 5?

Cards, each marked with one of he numbers 6, 7, 8, ...., 15, are placed in a box and mixed thoroughly. One card is drawn at random from the box. What is the probability of getting a card with number less than 10?

A die is thrown once. The probability of getting an even number is

The probability of throwing a number greater than 2 with a fair die is

A die is thrown once. The probability of getting an odd number greater than 3 is

A die thrown once. The probability of getting a prime number is

Two dice are thrown together. The probability of getting the same number on both dice is

The probability of getting 2 heads, when two coins are tossed, is

Two dice are thrown together. The probability of getting a doublet is

Two coins are tossed simultaneously. What is the probability of getting at most one head?

Three coins are tossed simultaneously. What is the probability of getting exactly two heads?

In a lottery, there are 8 prizes and 16 blanks. What is the probability of getting a prize?

In a lottery, there are 6 prizes and 24 blanks. What is the probability of not getting a prize?

A box contains 3 blue, 2 white and 4 red marbles. If a marbles is drawn at random from the box, what is the probability that it will not be a white marble?

A bag contains 4 red and 6 black balls. A ball is taken out of the bag at random. What is the probability of getting a black ball?

A bag contains 8 red, 2 black and 5 white balls. One ball is drawn at random. What is the probability that the ball drawn is not black?

A bag contains 3 white, 4 red and 5 black balls. One ball is drawn at random. What is the probability that the ball is neither black nor white?

A card is drawn at random from a well-shuffled deck of 52 cards. What is the probability of getting a black king?

From a well- shuffled deck of 52 cards, one card is drawn at random. What is the probability of getting a queen?

One card is drawn at random from a well-shuffled deck of 52 cards. What is the probability of getting a face card?

One card is drawn at random from a well-shuffled deck of 52 cards. What is the probability of getting a black face card?

One card is drawn at random from a well-shuffled deck of 52 cards. What is the probability of getting a 6?