Question

What’s the probability that the 5 balls will be pink?

Answer 1

Given:

The number of pink balls in the urn = 8.

The number of green balls in the urn = 6

The number of balls randomly drawn from the urn =5

Required:

We need to find the probability of selecting 5 balls that all are pink.

Step-by-step explanation:

The balls are replaced after selection.

The sample space = the total number of balls in the urn= 8+6

`n(S)=14`

Let A be the event of selecting a pink ball.

The favourable outcomes = The number of pink balls = 8

`n(A)=8`

The probability of selecting 5 balls from an urn that all are pink,

`=(n(A))/(n(S))*(n(A))/(n(S))*(n(A))/(n(S))*(n(A))/(n(S))*(n(A))/(n(S))`
`=(8)/(14)*(8)/(14)*(8)/(14)*(8)/(14)*(8)/(14)`
`=(32768)/(537824)`
`=0.0609269947`
`=0.061`

Final answer:

The probability that the 5 balls will be pink is 0.061.