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

What’s the probability that the 5 balls will be pink?-example-1
User Shoother
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1 Answer

2 votes

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.

User Joshua Briefman
by
8.6k points

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