A fair coin is tossed `n` times. if the probability that head occurs 6 times is equal to the probability that head occurs 8 times, then find the value of `ndot`

Answer

`n=14`

Explanation

According to question
`""^(n)C_(6)((1)/(2))^(6)((1)/(2))^(n-6)=""^(n)C_(8)((1)/(2))^(8)((1)/(2))^(n-8)`
`or ""^(n)C_(6)((1)/(2))^(n)=""^(n)C_(8)((1)/(2))^(n)`
`or""^(n)C_(6)=""^(n)C_(8)=""^(n)C_(n-8)`
`implies6=n-8orn=14`