Suppose that whenever Enrico and Cliff play chess, odds are 2:1 in favour of Enrico winning a game. Suppose a 3-game match is arranged. a) Create a tree diagram that illustrates all the possible outcomes for the match. b) Determine the probability of each outcome. c ) Add the probabilities determined in part b). Does this total make sense? Explain. d) What is the probability that Enrico will not win all three games? e) What is the probability that Cliff will win exactly two games? f) What are the odds against either player winning all three games?

The probability that Neil wins a game of chance is 0.4. He plays 2 games. A) Complete the tree diagram below:     B) Find the probability that: He wins both games He wins only one game

A child is playing with number blocks. She has nine blocks, numbered 1 through 9. a) If she selects three blocks at random from the nine blocks and puts them to the side, what is the probability that she selects the 1, 2, and the 3? b) If she selects three blocks at random from the nine blocks, and lines them up to make a three digit number, how many possible three-digit numbers are there?

Given events G and H: P(G) = 0.42; P(H) = 0.29; P(H AND G) = 0.11. A) Find P(H OR G). B)Find the probability of the complement of event (H AND G). C) Find the probability of the complement of event (H OR G)

Kevin is hiring two interns, and all applicants are either enrolled at Reading College (R) or Beekman College (B). He randomly picks two interns from the entire set of applicants. The tree diagram below shows the probabilities of the different outcomes. Based on the diagram, what is the probability of hiring two interns from Reading College? Provide the final answer as a fraction.

We know P(A) = 0.2.a) Find and interpret the odds against event Aoccurring.b) Find and interpret the odds for event Aoccurring.

a game of chance played historically by Canadian Indians involved throwing eight flat beans into the air and seeing how they fell. The beans were symmetrical and were painted white on one side and black on the other. The bean thrower would win one point if either 0 or 8 white beans came up, and would lose one point for any other configurations. Does the bean thrower have the advantage in this game?

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.