Suppose that there is a probability of 1/50 that you will win a certain game. If you play the game 50 times, independently, what is the probability that you will win at least once?

Suppose that A, B, and D are events such that A and B are independent, Pr(A ∩ B ∩ D) = 0.04, Pr(D|A ∩ B) = 0.25, and Pr(B) = 4 Pr(A). Evaluate Pr(A ∪ B).

Suppose that a random variableX has the binomial distribution with parameters n = 8 and p = 0.7. Find Pr(X ≥ 5)