Question

In: Statistics and Probability

For a standard deck of playing cards, what is the expected number of Diamonds that will...

For a standard deck of playing cards, what is the expected number of Diamonds that will appear in a random 5 card hand?

Solutions

Expert Solution

Let define a random variable X that represent the number of diamonds in hand, when we drawn 5 card from a standard deck of 52 cards.

In a standard deck of 52 cards there are 13 diamonds and 39 others cards

So, the random variable X cancan takes the values 0,1,2,3,4,5

If X=0 then  

If X=1 then  

If X=2 then

If X=3 then

If X=4 then

If X=5 then

Now we need to find the expected value of the random variable X, i.e, E(X)

The expected value of X is 1.25

orchestra answered 2 years ago
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