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Chapter 5: Q 42. (page 309)
Tossing coins Refer to Exercise 40. Define event : get more heads than tails. Find .
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Who eats breakfast? Refer to Exercise 49.
(a) Construct a Venn diagram that models the chance process using events B: eats breakfast regularly, and M: is male.
(b) Find Interpret this value in context.
(c) Find Interpret this value in context.
Roulette, An American roulette wheel hasslots with numbers through as shown in the figure. Of the numbered slots, are red, are black, and 鈥攖丑别 and 鈥攁re green. When the wheel is spun, a metal ball is dropped onto the middle of the wheel. If the wheel is balanced, the ball
is equally likely to settle in any of the numbered slots. Imagine spinning a fair wheel once. Define events B: ball lands in a black slot, and E: ball lands in an even numbered slot. (Treat and as even numbers.)
(a) Make a two-way table that displays the sample space in terms of events B and E.
(b) Find P(B) and P(E).
(c) Describe the event 鈥淏 and E鈥� in words. Then find P(B and E). Show your work.
(d) Explain why P(B or E) 鈮� P(B) + P(E). Then use the general addition rule to compute P(B or E).
During World War II, the British found that the probability that a bomber is lost through enemy action on a mission over occupied Europe was Assuming that missions are independent, find the probability that a bomber returned safely from missions.
Playing 鈥淧ick 鈥� The Pick games in many state lotteries announce a four-digit winning number each day. You can think of the winning number as a four-digit group from a table of random digits. You win (or share) the jackpot if your choice matches the winning number. The winnings are divided among all players who matched the winning number. That suggests a way to get an edge.
(a) The winning number might be, for example, either or . Explain why these two outcomes have exactly the same probability.
(b) If you asked many people whether 2873 or is more likely to be the randomly chosen winning number, most would favor one of them. Use the information in this section to say which one and to explain why. How might this affect the four-digit number you would choose?
Tall people and basketball players Select an adult at random. Define events : a person is over feet tall, and : a person is a professional basketball player. Rank the following probabilities from smallest to largest. Justify your answer.
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