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