Question

Write a compound probability problem that uses dependent events involving a standard deck of cards. Solve your problem.

Answer 1

Dependent: the outcome of events is affected by previous events

What is the probability that you will draw two clubs in a row from a standard deck

First card you draw has to be a club, there are 13 clubs & 52 cards, so probability is 13/52

Second card you draw has to be a club, there are now 12 clubs & 51 cards, so probability 12/51. Here the first event, pulling a card from the deck, changed the probability for this second event, so they are dependent.

13/52 * 12/51 = 156/2652 = 1/17
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Independent means that each event is NOT affected by previous events

What is the probability that the first heart you draw will be a queen & the first diamond that you draw will be a queen

Hearts: 1 queen in 13 hearts, so probability 1/13

Diamonds: 1 queen in 13 diamonds (see, doesn't matter what your first heart was, so independent), so probability 1/13

1/13 * 1/13 = 1/169

http://answers.yahoo.com/question/index?qid=20130225210850AAQT8dL

Answer 2

Thanks a lot!

Answer 3

Anytime