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Question

# Assertion :STATEMENT-1 : The probability of getting a tail most of the time in 10 tosses of an unbiased coin is 12{1−10!2105!5!} Reason: STATEMENT-2 : 2nC0+2nC1+2nC2+...+2nCn=22n−1,nϵN

A
Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1
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B
Statement-1 is True, Statement-2 is True; Statement-2 is Not a correct explanation for Statement-1
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C
Statement-1 is True, Statement-2 is False
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D
Statement-1 is False, Statement-2 is True
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Solution

## The correct option is C Statement-1 is True, Statement-2 is FalseProbability of getting a tail 6 or 7 or 8 or 9 or 10 times =C106+C107+C108+C109+C1010210=210+120+45+10+1210=3861024=12[1−10!2105!5!]Hence, statement 1 is true.4C0+4C1+4C2=11≠24−1Therefore, statement 2 is false.

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