Three people are being selected at random, each will be given one gift card.

Question

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

Answer 1

You wording is confusing me.
You say, 3 people are chosen at random, then each is given a gift card
What group are the 3 people chosen from ?

You say, "The first person selected will get to choose between the two remaining cards" . What happened to the first card?
Then, "The third person selected gets the third card
What happened to the second person?

Would it just be:
the first person gets to pick a card
the second person get to pick a card
the third person gets the remaining card ?

Answer 2

In an experiment, each of two people has six cards labeled 1 through 6. The first person chooses a card from set one while the second person chooses a card from set two. What is the probability that the two people will choose the same card. Write your answer as a percent, rounded to the nearest whole number