a. How many ways are there to pass out 13 cards to each of the two players? b. What is the probability that player 1 will receive 13 cards of one color and player 2 receive 13 cards of the other color?

A. Suppose you close your eyes and randomly select one M&M from your pile, find the probability of grabbing a color that contains the letter “r”or a color that contains the letter “o”. B. Suppose you close your eyes and randomly select one M&M from your pile, replace that M&M, and select another M&M from the pile. What is the probability that you will select an orange and a yellow M&M? C. Suppose you close your eyes and randomly select two M&M’s from your pile, without replacing the first M&M. What is the probability that you will select a red and a blue M&M?

3. If a class has 8 freshmen, 5 sophomores, 4 juniors, and 2 seniors, what is the probabilitythat three students randomly selected for a group are all freshmen?

Alice has a garden containing 9 carnations, 12 roses, and 6 dahlias. Alice randomly selects 6 of these flowers to give to her math teacher. Let X = the number of the selected flowers which are roses.a. a) How many possible ways are there to select the 6 out of 27 flowers (order does not matter) without replacement? b. What is the probability that X = 6 c. What is the probability that X=3? d. What is the probability that X > 3? e. What is the expected value of X? f. What is the standard deviation of X? g. What is the probability that X is within 1.0 standard deviation of its expected value? h. What is the probability that X = 2.6667? Add any comments below.