Reference no: EM132340584

Question

1. There are 4 suits (heart, diamond, clover, and spade) in a 52-card deck, and each suit has 13 cards. Suppose your experiment is to draw one card from a deck and observe what suit it is.

Express the probability in fraction format. (Show all work. Just the answer, without supporting work, will receive no credit.)

(a) Find the probability of drawing a diamond or clover.

(b) Find the probability that the card is not a spade.

2. There are 6 white balls and 4 red balls in an urn. Consider selecting one ball at a time from the urn. What is the probability that the first ball is white and the second ball is also white? Express the probability in fraction format. (Show all work. Just the answer, without supporting work, will receive no credit.)

(a) Assuming the ball selection is with replacement.

(b) Assuming the ball selection is without replacement.

3. There are twenty stores for a grocery chain in the Mid-Atlantic region. The regional executive wants to visit five of the twenty stores. She asks her assistant to choose five stores and arrange the visit schedule. (Show all work. Just the answer, without supporting work, will receive no credit).

(a) Does the order matter in the scheduling?

(b) Based on your answer to part (a), should you use permutation or combination to find the different schedules that the assistant may arrange?

(c) How many different schedules can the assistant recommend?