Starting with blue balls, in each of sequential rounds, we remove a random ball and replace it with a new red ball. for example, after the first round we have 9 blue balls and one red ball, after the second round, with probability we have 8 blue balls and 2 red balls, and with probability we have 9 blue balls and one red ball, etc. what is the probability that the ball we remove at the 11th round is blue

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06-06-2022
Mathematics

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Starting with blue balls, in each of sequential rounds, we remove a random ball and replace it with a new red ball. for example, after the first round we have 9 blue balls and one red ball, after the second round, with probability we have 8 blue balls and 2 red balls, and with probability we have 9 blue balls and one red ball, etc. what is the probability that the ball we remove at the 11th round is blue

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topeadeniran2 topeadeniran2 · Answer 1 · 2022-06-08T10:06:48-04:00

The probability that the ball we remove at the 11th round is blue will be 0.6.

How to calculate probability?

From the information given, we remove a random ball and replace it with a new red ball. for example, after the first round we have 9 blue balls and one red ball.

Since we have 9 blue balls and remove one every round. Let's assume that the number of blue and red balls will be 6 and 4 respectively in the 11 the round

Therefore, the probability that the ball we remove at the 11th round is blue will be:

= 6/(6 + 4)

= 6/10

= 0.6

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How to calculate probability?

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