The game of Clue involves 6 suspects, 6 weapons, and 9 rooms. One of each is randomly chosen and the object of the game is to guess the chosen three. (1) How many solutions are possible? In one version of the game, the selection is made and then each of the players is randomly given three of the remaining cards. Let S, W, and R be, respectively, the numbers of suspects, weapons, and rooms in the set of three cards given to a specified player. Also, let X denote the number of solutions that are possible after that player observes his or her three cards. (2) Express X in terms of S, W, and R. (3) Find E[X]
An urn contains 5 white and 10 black balls. A fair die is rolled and that number of balls is randomly chosen from the urn. What is the probability that all of the balls selected are white? What is the conditional probability that the die landed on 3 if all the balls selected are white?
With the supplied parameters, an experiment in binomial probability is carried out.
Compute the probability of x successes in the n independent trials of the experiment.
The rate of return.
Given information:
As PV at
PV Value at
Identify each conic using eccentricity.
(a)
(b)
(c)
(d)