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A man throws a fair coin number of times and gets 2 points for each head and 1 pointfor each tail the probability that he gets exactly 6 points is`(21)/(32)`(2) `(13)/(64)`(3) `(43)/(64)`(4) `(23)/(32)`A. `21/32`B. `23/32`C. `41/64`D. `43/64` |
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Answer» Correct Answer - D `P("HHH")+P("HHTT") + P("HTTTT") + P("TTTTTT")` `1/(2^(3)) + .^(4)C_(2) (1)/(2^(4)) + .^(5)C_(1) (1)/(2^(5))+(1)/(2^(6))` `= 1/(8) + (6)/(16) + (5)/(32) + (1)/(64)` `= 43/64` |
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