

InterviewSolution
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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 |
Answer» 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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