Find the probability that when a hand of 7 cards is drawn from a well shuffled deck of 52 cards, it contains.
(i) all Kings
(ii) 3 Kings
(iii) atleast 3 Kings
Answers
(i)Total number of outcomes (TO) = 52
Total number of outcomes (TO) = 52Total number of kings in 52 cards = 4
Total number of outcomes (TO) = 52Total number of kings in 52 cards = 4But 7 cards are shuffled.
Favourable outcomes (FO) = 4
Probability = FO/TO
Probability = 4/52 = 1/13
(ii)Total number of outcomes (TO) = 52
Total number of outcomes (TO) = 52Total number of kings = 3
Total number of outcomes (TO) = 52Total number of kings = 3But 7 cards are shuffled.
Favourable outcomes (FO) = 3
Probability = FO/TO
Probability = 3/13
(iii)Favourable outcomes (FO) = 3
Probability= FO/TO
Probability= 3/13
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(i)Total number of outcomes (TO) = 52
Total number of outcomes (TO) = 52Total number of kings in 52 cards = 4
Total number of outcomes (TO) = 52Total number of kings in 52 cards = 4But 7 cards are shuffled.
Favourable outcomes (FO) = 4
Probability = FO/TO
Probability = 4/52 = 1/13
(ii)Total number of outcomes (TO) = 52
Total number of outcomes (TO) = 52Total number of kings = 3
Total number of outcomes (TO) = 52Total number of kings = 3But 7 cards are shuffled.
Favourable outcomes (FO) = 3
Probability = FO/TO
Probability = 3/13
(iii)Favourable outcomes (FO) = 3
Probability= FO/TO