Five coins are tossed simultaneously. The probability that at least on head turning up, is

Options

A. `(1)/(32)`
B. `(5)/(32)`
C. `(7)/(16)`
D. `(3)/(5)`

Answer

D

Explanation

(d) Let X denotes the number of heads in 5 throws of a coin. Then, the probability of getting r heads is given by
`P(X=r)=""^(5)C_(r )((1)/(2))^(r )((1)/(2))^(5-r)=""^(5)C_(r )((1)/(2))^(5), r=0,1,2,…..,5`
Required probability `=P(X ge 1)`
`=1-P(X=0)=1-""^(5)C_(0)((1)/(2))^(5)=(31)/(32)`