An urn has 5 red balls and 7 blue balls. Suppose you randomly select 5 balls from the urn. What is the probability that your hand has exactly 3 red balls

Probability of exactly 3 red balls = 0.2652

Step-by-step explanation:

We are given that an urn has 5 red balls and 7 blue balls.

And we randomly select 5 balls from the urn and have to find the probability that your hand has exactly 3 red balls.

Firstly, number of ways of selecting 3 red balls from total of 5 red balls in the urn = = = 10

Now since 5 balls have to be selected so remaining 2 balls will be blue only, so number of ways of selecting 2 blue balls from total of 7 blue balls in the urn = = = 21

The total number of ways of selecting 5 balls from total of 12 balls in the urn =  = = 792

So, probability that your hand has exactly 3 red balls =

                                                                                         = = 0.2652 .

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