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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..... .
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?
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 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 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?
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.