Answered

IDNLearn.com: Your one-stop destination for reliable answers to diverse questions. Get accurate and comprehensive answers from our network of experienced professionals.

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

Whats The Probability That The 5 Balls Will Be Pink class=

Sagot :

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.

Explanation:

The balls are replaced after selection.

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

[tex]n(S)=14[/tex]

Let A be the event of selecting a pink ball.

The favourable outcomes = The number of pink balls = 8

[tex]n(A)=8[/tex]

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

[tex]=\frac{n(A)}{n(S)}\times\frac{n(A)}{n(S)}\times\frac{n(A)}{n(S)}\times\frac{n(A)}{n(S)}\times\frac{n(A)}{n(S)}[/tex][tex]=\frac{8}{14}\times\frac{8}{14}\times\frac{8}{14}\times\frac{8}{14}\times\frac{8}{14}[/tex][tex]=\frac{32768}{537824}[/tex][tex]=0.0609269947[/tex][tex]=0.061[/tex]

Final answer:

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

Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. IDNLearn.com provides the best answers to your questions. Thank you for visiting, and come back soon for more helpful information.