# Ex 13.5, 4 - Chapter 13 Class 12 Probability (Term 2)

Last updated at Feb. 15, 2020 by Teachoo

Last updated at Feb. 15, 2020 by Teachoo

Transcript

Ex 13.5, 4 Five cards are drawn successively with replacement from a well-shuffled deck of 52 cards. What is the probability that (i) all the five cards are spades? (ii) only 3 cards are spades? (iii) none is a spade?Let X : be the number of spade cards Drawing a card is a Bernoulli trial So, X has binomial distribution P(X = x) = nCx ๐^(๐โ๐) ๐^๐ Here, n = number of cards drawn = 5 p = Probability of getting spade card = 13/52=1/4 q = 1 โ p = 1 โ 1/4=3/4 Hence, P(X = x) = 5Cx (๐/๐)^(๐โ๐) (๐/๐)^๐ P(all cards are spade) = 5๐ถ5(1/4)^5 (3/4)^0 = (1/4)^5 =๐/๐๐๐๐ P(only three cards are spade) = 5๐ถ3(1/4)^3 (3/4)^2 = 5!/(3! 2!) ร 9/1024 =๐๐/๐๐๐ (iii) P(none of them are spade) = 5๐ถ0(1/4)^0 (3/4)^5 = (3/4)^5 = ๐๐๐/๐๐๐๐

Ex 13.5

Ex 13.5, 1
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Ex 13.5, 2 Deleted for CBSE Board 2022 Exams

Ex 13.5, 3 Important Deleted for CBSE Board 2022 Exams

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Chapter 13 Class 12 Probability (Term 2)

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.