Question

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 (a) ace? (b) king? Select the correct answer from above options

Answer 1

Given: Five cards-ten, jack, queen, king and Ace of diamond are shuffled face downwards. Required to find: Probability of following Total number of cards is 5 (i) Total number of cards which is a queen is 1 Number of favourable outcomes i.e. Total number of cards which is queen = 1 We know that, Probability = Number of favourable outcomes/ Total number of outcomes Thus, the probability of getting cards which is a queen = 1/5 (ii) If a king is drawn first and put aside then Total number of cards becomes 4 (a) Number of favourable outcomes i.e. Total number of ace card is 1 We know that Probability = Number of favourable outcomes/ Total number of outcomes Thus, the probability of getting an ace card = 1/4 (b) Number of favourable outcomes i.e. Total number of king cards is 0 We know that Probability = Number of favourable outcomes/ Total number of outcomes Thus, the probability of getting a king = 0