One card is drawn from a well shuffled deck of 52 cards. Find the probability of getting:

Total no. of possible outcomes = 52 (52 cards)

(i) E ⟶ event of getting a king of red suit

No. of favourable outcomes = 2 {king heart & king of diamond}

P(E), = (No.of favorable outcomes)/(Total no. of possible outcomes) = 2/52 = 1/26

(ii) E ⟶ event of getting face card

No. of favourable outcomes = 12 {4 kings, 4 queens & 4 jacks}

P(E) = 12/52 = 3/13

(iii) E ⟶ event of getting red face card

No. favourable outcomes = 6 { kings, queens, jacks of hearts & diamonds}

P(E) = 6/26 = 3/26

(iv) E ⟶ event of getting a queen of black suit

No. favourable outcomes = 6 { kings, queens, jacks of hearts & diamonds}

P(E) = 6/26 = 3/26

(v) E ⟶ event of getting red face card

No. favourable outcomes = 6 { queen of spades & clubs}

P(E) = 1/52

(vi) E ⟶ event of getting a spade

No. favourable outcomes = 13 {13 spades}

P(E) = 13/52 = 1/4

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