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

A die is thrown. Find the probability of

getting a 5

getting a 2 or a 3

getting an odd number

getting a prime number

getting a multiple of 3

getting a number between 3 and 6

In a single throw of two dice, find the probability of

(i) getting a sum less than 6

(ii) getting a doublet of odd numbers

(iii) getting the sum as a prime number

In a single throw of two dice, find

P (an odd number on the first die and a 6 on the second)

P (a number greater than 3 on each die)

P (a total of 10)

P (a total greater than 8)

P (a total of 9 or 11)

A bag contains 4 white and 5 black balls. A ball is drawn at random from the bag. Find the probability that the ball is drawn is white.

An urn contains 9 red, 7 white, and 4 black balls. A ball is drawn at random. Find the probability that the ball is drawn is

red

white

red or white

white or black

not white

In a lottery, there are 10 prizes and 25 blanks. Find the probability of getting a prize.

If there are two children in a family, find the probability that there is at least one boy in the family

Three unbiased coins are tossed once. Find the probability of getting

exactly 2 tails

exactly one tail

at most 2 tails

at least 2 tails

at most 2 tails or at least 2 heads

In a single throw of two dice, determine the probability of not getting the same number on the two dice.

If a letter is chosen at random from the English alphabet, find the probability that the letter is chosen is

(i) a vowel

(ii) a consonant

A card is drawn at random from a well-shuffled pack of 52 cards. What is the probability that the card bears a number greater than 3 and less than 10?

Tickets numbered from 1 to 12 are mixed up together, and then a ticket is withdrawn at random. Find the probability that the ticket has a number which is a multiple of 2 or 3.

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

What is the probability that a leap year has 53 Sundays?

What is the probability that in a group of two people, both will have the same birthday, assuming that there are 365 days in a year and no one has his/her birthday on 29th February?

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

(i) 0 (ii)

(iii) (iv)

If 7/10 is the probability of occurrence of an event, what is the probability that it does not occur?

The odds in favor of the occurrence of an event are

8 : 13. Find the probability that the event will occur.

If the odds against the occurrence of an event be 4 : 7, find the probability of the occurrence of the event.

If 5/14 Is the probability of occurrence of an event, find

(i) the odds in favor of its occurrence

(ii) the odds against its occurrence

Two dice are thrown. Find

(i) the odds in favor of getting the sum 6

(ii) the odds against getting the sum 7

A combination lock on a suitcase has 3 wheels, each labeled with nine digits from 1 to 9. If an opening combination is a particular sequence of three digits with no repeats, what is the probability of a person guessing the right combination?

In a lottery, a person chooses six different numbers at random from 1 to 20. If these six numbers match with the six numbers already fixed by the lottery committee, he wins the prize. What is the probability of winning the prize in the game?

In a single throw of three dice, find the probability of getting

(i) a total of 5

(ii) a total of at most 5

If A and B are two events associated with a random experiment for which P(A) = 0.60, P(A or B) = 0.85 and P(A and B) = 0.42, find P(B).

Let A and B be two events associated with a random experiment for which P(A) = 0.4, P(B) = 0.5 and P(A or B) = 0.6. Find P(A and B).

In a random experiment, let A and B be events such that P(A or B) = 0.7, P(A and B) = 0.3 and = 0.4. Find P(B).

If A and B are two events associated with a random experiment such that P(A) = 0.25, P(B) = 0.4 and P(A or B) = 0.5, find the values of

(i) P(A and B)

(ii)

If A and B be two events associated with a random experiment such that P(A) = 0.3, P(B) = 0.2 and P(A ∩ B) = 0.1, find

(i)

If A and B are two mutually exclusive events such that P(A) = (1/2) and P(B) = (1/3), find P(A or B).

Let A and B be two mutually exclusive events of a random experiment such that P(not A) = 0.65 and P(A or B) = 0.65, find P(B).

A, B, C are three mutually exclusive and exhaustive events associated with a random experiment.

If P(B) = (3/2) P(A) and P(C) = (1/2) P(B), find P(A).

The probability that a company executive will travel by plane is (2/5) and that he will travel by train is (1/3). Find the probability of his travelling by plane or train.

From a well-shuffled pack of 52 cards, a card is drawn at random. Find the probability of its being a king or a queen

From a well-shuffled pack of cards, a card is drawn at random. Find the probability of its being either a queen or a heart.

A card is drawn at random from a well-shuffled deck of 52 cards. Find the probability of its being a spade or a king.

A number is chosen from the numbers 1 to 100. Find the probability of its being divisible by 4 or 6.

A die is thrown twice. What is the probability that at least one of the two throws comes up with the number 4?

Two dice are tossed once. Find the probability of getting an even number on the first die or a total of 8.

Two dice are thrown together. What is the probability that the sum of the numbers on the two faces is neither divisible by 3 nor by 4.

In class, 30% of the students offered mathematics 20% offered chemistry and 10% offered both. If a student is selected at random, find the probability that he has offered mathematics or chemistry.

The probability that Hemant passes in English is (2/3), and the probability that he passes in Hindi is (5/9). If the probability of his passing both the subjects is (2/5), find the probability that he will pass in at least one of these subjects.

The probability that a person will get an electrification contract ia (2/5) and the probability that he will not get a plumbing contract is (4/7). If the probability of getting at least one contract is (2/3), what is the probability that he will get both?

The probability that a patient visiting a denist will have a tooth extracted is 0.06, the probability that he will have a cavity filled is 0.2, and the probability that he will have a tooth extracted or a cavity filled is 0.23.What is the probability that he will have a tooth extracted as well as a cavity filled?

In a town of 6000 people, 1200 are over 50 years old, and 2000 are females. It is known that 30% of the females are over 50 years. What is the probability that a randomly chosen individual from the town is either female or over 50 years?