Exercise 10. Assuming that each outcome is equally likely, find the probability ofeach event in Exercise 6.Exercise 14. A sample space is S = {u, v, w, x}. Identify two events as A = {v,w}and B = {u,w, x}. Suppose P(u) = 0.22, P(w) = 0.36, and P(x) = 0.27.a. Determine what P(v) must be.b. Find P(A).c. Find P(B).

Sample space S is partitioned into E₁, E₂, E3, and E4 such that P(E₁)=0.12, P(E₂)=0.09, and P(E3) = 0.49. a. Find P(E4). b. Find the odds in favor of and the odds against E4 occurring. a. P(E4)= (Simplify your answer.) b. The odds in favor of E4 occurring, in lowest terms, are (Type whole numbers.) The odds against E4, in lowest terms, are (Type whole numbers.)

determine whether the random variable x is discrete or continuous. let x represent the populations of the 50 U.S. states

Q. 1 Deal two cards from a well-shuffled deck of cards. Let the random variable X be the number of aces dealt and let the random variable Y be the number of face cards dealt. (i) Find and sketch fx.y (x, y).

A sample space has 3 outcomes, {O1, O2, O3}. Suppose E= {O1, O2}, and F= {O1, O3}. If Pr[E]= 0.67 and Pr[F]= 0.54, what is Pr[{O2, O3}]?