a two digits number is formed with digits 2,3,5,7,9 with out repetition. what is the probability that the number formed in an odd number
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S = {23, 25, 27, 29, 32, 35, 37, 39, 52, 53, 57, 59, 72, 73, 75, 79, 92, 93, 95, 97} ∴ n(S) = 20 i. Let A be the event that the number formed is an odd number. ∴ A = {23, 25, 27, 29, 35, 37, 39, 53, 57, 59, 73, 75,79,93,95,97} ∴ n(A) = 16 ∴ P(A) = n(A)n(S)n(A)n(S) = 16/20 ∴ P(A) = 4/5 ii. Let B be the event that the number formed is a multiple of 5. ∴ B = {25,35,75,95} ∴ n(B) = 4 ∴ P(B) = n(B)n(S)n(B)n(S) = 4/20 ∴ P(B) = 1/5 ∴ P(A) = 4/5 ; P(B) = 1/5Read more on Sarthaks.com - https://www.sarthaks.com/847497/digit-number-formed-with-digits-without-repetition-what-probability-that-number-formed
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digit-number-formed-with-digits-without-repetition-what-probability-that-number-formed
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