Sarthaks Test
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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

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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

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