SOLUTION: A 7 card hand is dealt from a standard deck of 52 playing cards. What is the probability that: A. you are dealt exactly 2 jacks? B. You are dealt at most 3 diamonds? Please

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Question 646103: A 7 card hand is dealt from a standard deck of 52 playing cards. What is the probability that:
A. you are dealt exactly 2 jacks?
B. You are dealt at most 3 diamonds?
Please help. thank you in advance.

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
Note: Both of these are examples of a 'Hypergeometric Experiments'
That is: Probability of an event is found using the proper combinations
divided by the combination representing the total ways the experiment can result.
Important to learn to recognize when combinations are appropriate to use in determining probability
of an event occurring and also important to have a reliable source for computing the value
of those particular combinations.
A 7 card hand is dealt from a standard deck of 52 playing cards.
P( you are dealt exactly 2 jacks) =
P( You are dealt at most 3 diamonds) = P(0) + P(1) + P(2) + P(3)
P(0) =
P(1) =
P(2) =
P(3) =

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