In a class, there are 18 girls and 16 boys. The class teacher wants to choose one pupil for class representative. What she does, she writes the name of each pupil on a card and puts them in to a basket and mixes throughly. A child is asked to pick up one card from the basket. What is the probability that the name written on the card is
(i) the name of a girl.
(ii) the name of a boy.
A black dice and a white dice are thrown at the same time, write all the possible outcomes. What is the probability that:
(i) the sum of the two numbers is (a) 8 (b) 6 (c) 10
(ii) there is same number on both dice.
(iii) the sum of the number is more than 9.
Five cards: ten, jack, queen, king and an ace of diamonds are shuffled face downwards. One card is picked at random.
(i) What is the probability that the card is a queen?
(ii) If a king is drawn first and put aside, what is the probability that the second card picked up is the ace?
Solution not provided.
Ans. 24
(i) A lot of 20 bulbs contains 4 defective ones. One bulb is drawn at random from the lot. What is the probability that this bulb is defective ?
(ii) 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 piggy bank contains hundred 50 paises coins, fifty Re 1 coins twenty Rs 2 coins and ten Rs 5 coins. If it is equally likely that one of the coins will fallout when the bank is turned up side dawn, what is the probability that the coin
(i) Will be a 50 paise coins ?
(ii) Will not be a Rs 5 coins?