Question

Home Campus+xBb ALEKS - MAT300461VA016-1206 XALEKS - Quincy Jones - Learnwww-awn.aleks.com/alekscgi/x/Isl.exe/10_u-IgNslkr7;8P3jH-Iv-6txjbonmDn7WsVrRAXK6XnHkirO PROBABILITYProbabilities of draws with replacementAn urn contains 9 white and 5 pink balls. Four balls are randomly drawn from the urn in successicis returned to the urn. What is the probability that all 4 balls drawn from the urn are pink? Round(If necessary, consult a list of formulas.)Х$?

Answer 1

Given:

Number of white balls = 9

Number of pink balls = 5

Total number of balls = 9 + 5 = 14 balls

4 balls are drawn randomly with replacement

To find the probability that all 4 balls are pink, we have:

P(pink) * P(pink) * P(pink) * P(Pink)

`=\text{ }(5)/(14)\text{ }\ast(5)/(14)\text{ }\ast\text{ }(5)/(14)\text{ }\ast\text{ }(5)/(14)`
`=(625)/(38416)`
`P\text{ = 0}.016`

Probability that all 4 balls drawn are pink = 0.016