Probability of Picking Red, Blue, and Red from a Bag without Replacement

Thread starter ajdude
Start date Apr 15, 2011
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Probability

AI Thread Summary

The probability of picking a red ball, then a blue ball, and then another red ball from a bag containing 5 red, 6 green, and 9 blue balls without replacement is calculated as (5/20) * (9/19) * (4/18). This calculation correctly accounts for the changing total number of balls after each pick. The initial probability of selecting a red ball is 5 out of 20, followed by 9 blue out of 19 remaining balls, and finally 4 red out of 18 remaining balls. The solution provided is accurate and reflects the correct method for calculating probabilities in this scenario. The discussion confirms the correctness of the approach taken.

Apr 15, 2011

ajdude

Homework Statement

There is a bag with 20 balls in it. 5 red, 6 green, 9 blue. What is the probability of picking, (without replacement) a red, then a blue, then a red in that order?

Homework Equations

The Attempt at a Solution

(5/20) * (9/19) * (4/18)

Is this correct? Or am I missing something?

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Apr 15, 2011

Dick

Science Advisor

Homework Helper

That looks fine to me.

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