Question

If six fair coins are tossed,what is the probability that at least one head appears?

Answer 1

Probability of obtaining at least one head `=0.9998756`

Explanation:

The coin is fair.
Probability of obtaining head `=0.5`
Probability of obtaining tail `=0.5`

Probability of obtaining at least one head `=1 -` Probability of obtaining no head

Probability of obtaining no head

`P_(x=0)=""_""^nC_x xx p^x xx q^(n-x)`

`P_(x=0)=""_""^6C_0 xx 0.5^0 xx 0.5^(12-0)`

`P_(x=0)=1 xx1 xx 0.5^(12-0)=0.000244`

Probability of obtaining at least one head `=1 - 0.000244=0.9998756`