Question

One card is drawn from a 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 Select the correct answer from above options

Answer 1

Given: One card is drawn from a well shuffled deck of 52 playing cards Required to find: Probability of following Total number of cards is 52 (i) Total number of cards which are king of red suit is 2 Number of favourable outcomes i.e. Total number of cards which are king of red suit is 2 We know that, Probability = Number of favourable outcomes/ Total number of outcomes Thus, the probability of getting cards which is a king of red suit = 2/52 = 1/26 (ii) Total number of face cards are 12 Number of favourable outcomes i.e. total number of face cards is 12 We know that Probability = Number of favourable outcomes/ Total number of outcomes Thus, the probability of getting a face cards = 12/52 = 3/13 (iii) Total number of red face cards are 6 Number of favourable outcomes i.e. total number of red face cards is 6 We know that, Probability = Number of favourable outcomes/ Total number of outcomes Thus, the probability of getting a red face cards = 6/52 = 3/26 (iv) Total number of queen of black suit cards is 2 Total number of favourable outcomes i.e. total number of queen of black suit cards is 2 We know that, Probability = Number of favourable outcomes/ Total number of outcomes Thus, the probability of getting cards which is a queen of black suit = 2/52 = 1/26 (v) Total number of jack of hearts is 1 We know that, Probability = Number of favourable outcomes/ Total number of outcomes Thus, the probability of getting a card which is a jack of hearts = 1/52 (vi) Total number of spade cards are 13 Total numbers of favourable outcomes i.e. total number spade cards is 13 We know that, Probability = Number of favourable outcomes/ Total number of outcomes Thus, the probability of getting a spade card = 13/52 = 1/4