Probability › Drawing from bags › Colour ratios

Red balls after discarding draws

High school · ●●●○○ 50 pts

An urn contains 2 yellow balls, 3 blue balls and 22 red balls. One ball is drawn, found to be red, and discarded. Then 5 balls are drawn and thrown away without looking at their colours. Given this information, what is the probability that if you now draw four balls from the urn, they are all red? Round to three decimal places.

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conditional probabilityhypergeometric distributionprobability without replacement