Addition rule and cards. This problem tests your understanding of the addition rule. It involves drawing cards from a standard 52 card deck. (a) Drawing one card from the deck, what is probability it is a seven? (b) Drawing one card from the deck, what is probability it is a jack? (c) Are "drawing a seven" and "drawing a jack" disjoint events? O Yes O No (d) Drawing one card from the deck, what is probability it is a seven or a jack? (e) Drawing one card from the deck, what is probability it is a club? (f) Drawing one card from the deck, what is probability it is a two? (g) Are "drawing a club" and "drawing a two" disjoint events? Yes O No (h) Drawing one card from the deck, what is probability it is a club or a two?

Dividing a JackpotA game between two players consists of tossing a coin. Player A gets a point if the coin shows heads, and player B gets a point if it shows tails. The first player to get six points wins an 8,000 jackpot. As it happens, the police raid the place when player A has five points and B has three points. After everyone has calmed down, how should the jackpot be divided between the two players? In other words, what is the probability of A winning and that of B winning if the game were to continue? The French Mathematician Pascal and Fermat corresponded about this problem, and both came to the same correct calculations though by very different reasonings. Their friend Roberval disagreed with both of them. He argued that player A has probability 34 of winning, because the game can end in the four ways H, TH, TTH, TTT and in three of these, A wins. Robervals reasoning was wrong. a Continue the game from the point at which it was interrupted, using either a coin or a modeling program. Perform the experiment 80 or more times, and estimate the probability that player A wins. bCalculate the probability that player A wins. Compare with your estimate from part a.

In Example 8, what is the probability that an employee chosen at random has 30 or more years of service?

Card Game The deck for a card game contains 108 cards. Twenty-five each are red, yellow, blue, and green, and eight are wild cards. Each player is randomly dealt a seven-card hand. (a) What is the probability that a hand will contain exactly two wild cards? (b) What is the probability that a hand will contain two wild cards, two red cards, and three blue cards?