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

 

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) =