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Question

A coin is tossed 10 times, probability that on the 10th throw to observed 5th head is

A
9C5125
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B
9C4210
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C
9C5210
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D
None of these
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Solution

The correct options are
B 9C4210
C 9C5210
Since 5th head is needed on the tenth throw, 4 heads have already been appeared in the previous 9 throws.
Thus, the required probability equals 9C4(12)5(12)4(12)=9C4(12)10
9C4=9C5 and so option c is also correct.

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