91Ó°ÊÓ

For each of the following, list the sample space and tell whether you think the events are equally likely: a) Roll two dice; record the sum of the numbers. b) A family has 3 children; record each child's sex in order of birth. c) Toss four coins; record the number of tails. d) Toss a coin 10 times; record the length of the longest run of heads.

A casino claims that its roulette wheel is truly random. What should that claim mean?

The American Red Cross says that about \(45 \%\) of the U.S. population has Type O blood, \(40 \%\) Type A, \(11 \%\) Type \(\mathrm{B}\), and the rest Type \(\mathrm{AB}\). a) Someone volunteers to give blood. What is the probability that this donor 1) has Type AB blood? 2) has Type A or Type B? 3) is not Type \(\mathrm{O}\) ? b) Among four potential donors, what is the probability that 1) all are Type \(\mathrm{O}\) ? 2) no one is Type \(\mathrm{AB}\) ? 3) they are not all Type \(\mathrm{A}\) ? 4) at least one person is Type B?

A slot machine has three wheels that spin independently. Each has 10 equally likely symbols: 4 bars, 3 lemons, 2 cherries, and a bell. If you play, what is the probability that a) you get 3 lemons? b) you get no fruit symbols? c) you get 3 bells (the jackpot)? d) you get no bells?

On September 11,2002, the first anniversary of the terrorist attack on the World Trade Center, the New York State Lottery's daily number came up \(9-1-1 .\) An interesting coincidence or a cosmic sign? a) What is the probability that the winning three numbers match the date on any given day? b) What is the probability that a whole year passes without this happening? c) What is the probability that the date and winning lottery number match at least once during any year? d) If every one of the 50 states has a three-digit lottery, what is the probability that at least one of them will come up \(9-1-1\) on September \(11 ?\)