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Can you generalize this situation? If a fair coin is tossed six times, find the probability of getting exactly 2 heads.

Answer»

SOLUTION :A fair coin is tossed 6 times,
Let A be the event of getting EXACTLY 2 heads.
`THEREFORE absA= ^6C_2=15 therefore P(A)=15/2^6`
Yes we can GENERALIZE the SITUATION, i.e., if a fair coin is tossed n-times, then probability of getting exactly 2 heads= `("^nC_2)/2^n`= `("^6C_2)/2_6`


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