Problem 532
An urn contains 6 white, 4 black, and 2 red balls. In a single draw, find the probability of drawing: (a) a red ball; (b) a black ball; (c) either a white or a black ball. Assume all outcomes equally likely.
Problem 537
A box contains 4 black marbles, 3 red marbles, and 2 white marbles. What is the probability that a black marble, then a red marble, then a white marble is drawn without replacement?
Problem 541
What is the probability of making a 7 in one throw of a pair of dice?
Problem 545
The probability that A wins a certain game is \(2 / 3\). If A plays 5 games, what is the probability that A will win (a) exactly 3 games? (b) at least 3 games?
Problem 547
A die is tossed five times. What is the probability that an ace will appear: (a) at least twice; (b) at least once?