A die is throws 5 times . If getting an odd number is a success , find the probability of getting at least 4 successes.

Options

A. `(4)/(5)`
B. `(7)/(16)`
C. `(3)/(16)`
D. `(3)/(20)`

Answer

C

Explanation

In a single throw of a die P(getting and ood number ) `=(3)/(6)=(1)/(2)`
`:. , p=(1)/(2) ,q=(1-p) =(1)/(2) ` and n=5
Required probability =P(4 successes or 5 successes)
`=.^(5)C_(4).((1)/(2))^(4).((1)/(2))^(1)+.^(5)C_(5).((1)/(2))^(5)=((5)/(32)+(1)/(32))=(6)/(32)=(3)/(16)`