JEE Advanced Mathematics question

Mathematics Probability JEE Advanced

STATEMENT-1: The probability of getting a tail most of the time in 10 tosses of a unbiased coin is . STATEMENT-2: , .

(A)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1
(B)Statement-1 is True, Statement-2 is True; Statement-2 is *Not* a correct explanation for Statement-1
(C)Statement-1 is True, Statement-2 is FalseCorrect
(D)Statement-1 is False, Statement-2 is True

Answer: (C)

Solution

"Tail most of the time" means at least 6 tails out of 10. - **Statement-1:**

P = = .

By symmetry C_0\ldotsC_4\frac$ - {}^{10} = -

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Question ID VK-110325