Question
An urn contains 7 pink and 8 green balls. Six balls are randomly drawn from the urn in succession, with replacement. That is, after each draw, the selected ball
is returned to the urn. What is the probability that all 6 balls drawn from the urn are pink? Round your answer to three decimal places.
is returned to the urn. What is the probability that all 6 balls drawn from the urn are pink? Round your answer to three decimal places.
Ask by Whittaker Schneider. in the United States
Mar 28,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The probability of drawing 6 pink balls in a row is approximately 0.010.
Solution
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Extra Insights
To find the probability that all 6 balls drawn from the urn are pink, we first need to determine the total number of balls in the urn. There are 7 pink balls and 8 green balls, making a total of 15 balls (7 pink + 8 green).
The probability of drawing a pink ball in one draw is the number of pink balls divided by the total number of balls:
Since the draws are independent and done with replacement, the probability of drawing 6 pink balls in a row is:
Now, let’s calculate it:
Rounding to three decimal places, the probability that all 6 balls drawn are pink is:
