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Tree diagrams

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Three people are being selected at random, each will be given one gift card.
There is one card from Home Depot,one from Best Buy and one from Red Lobster. The first person selected will get to choose between the two remaining cards. The third person selected gets the third card.

a) Determine the number of points in the sample space.

b) construct a tree diagram and determine the sample space.

Determine the probability that
a) the best buy card is selected first

b)the home depot card is selected first and the red lobster card is selected last

c)the cards are selected in this order best buy, red lobster, home depot

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