Six balls numbered 1 to 6 are placed in a bag. Some of the balls are grey and some are white. The balls numbered 2 and 5 are grey. The balls numbered 1, 3, 4, and 6 are white. A ball will be selected from the bag at random. The 6 possible outcomes are listed below. Note that each outcome has the same probability. 3 4 5 6 Complete parts (a) through (c). Write the probabilities as fractions. (a) Check the outcomes for each event below. Then, enter the probability of the event.

Roulette American roulette is a game in which a wheel turns on a spindle and is divided into 38 pockets. Thirty-six of the pockets are numbered 1-36, of which half are red and half are black. Two of the pockets are green and are numbered 0 and 00 (see figure). The dealer spins the wheel and a small ball in opposite directions. As the ball slows to a stop, it has an equal probability of landing in any of the numbered pockets. (a) Find the probability of landing in the number 00 pocket. (b) Find the probability of landing in a red pocket. (c) Find the probability of landing in a green pocket or a black pocket. (d) Find the probability of landing in the number 14 pocket on two consecutive spins. (e) Find the probability of landing in a red pocket on three consecutive spins.

Use the Multiplication Property of Probabilities. If P(A)=0.3 and P(BA)=0.6, find P(AB).

Show that the probability of drawing a club at random from a standard deck of 52 playing cards is the same as the probability of drawing the ace of hearts at random from a set of four cards consisting of the aces of hearts, diamonds, clubs, and spades.