The game of Mastermind starts in the following way: One player selects four pegs, each peg having six possible colors, and places them in a line. The second player then tries to guess the sequence of colors. What is the probability of guessing correctly?

Use the counting techniques from the last chapter. A bag contains three red marbles, three green ones, one fluorescent pink one, four yellow ones, and three orange ones. Suzan grabs four at random. Find the probability of the indicated event. She gets at least two red ones, given that she gets at least one green one.

maya is playing a role playing game with her friends. She will roll a dice to determine if her character casts a spell. The odds in favor of her character casting a spell are 8/7.  Find the probability of her character casting a spell.

A slot machine has 3 dials. Each dial has 30 positions, one of which is "Jackpot". To win the jackpot, all three dials must be in the "Jackpot" position. Assuming each play spins the dials and stops each independently and randomly, what are the odds of one play winning the jackpot?    1/30 = 0.03 or 3%   3/(30+30+30) = 3/90 = 0.33 or 33%   3/(30×30×30) = 3/27000 = 0.0001 or 0.01%   1/(30×30×30) = 1/27000 = 0.00003 or 0.003%     Question 18