An urn contains 8 black and 6 pink balls. Five balls are randomly drawn from from the urn in succession, with replacement. That is, after each draw, the selected ball is returned to the urn. What is the probabillity that all the 5 balls drawn from the urn are pink? Round your answer to 3 decimal places. (IF necessary, consult a list of formulas)

2.143

Step-by-step explanation:

An urn contains 8 black and;

6 pink balls.

5 balls are randomly drawn from the urn in succession, with replacement.

What is the probability that all the 5 balls drawn from the urn are pink?

The probability of drawing a pink ball in the first draw is 6/14 The probability of drawing a pink ball in the second draw is 6/14 The probability of drawing a pink ball in the third draw is 6/14 The probability of drawing a pink ball in the fourth draw is 6/14 The probability of drawing a pink ball in the fifth draw is 6/14

The probability that all the 5 balls drawn is pink is 5 * 6/14 = 30/14 = 2.143 (rounded off to 3 decimal places)