1. Lottery Winner To win a certain lotto, a person must spell the word big. Sixty percent of the tickets contain the letter b, 30% contain the letter i, and 10% contain the letter g. Find the average number of tickets a person must buy to win the prize. (30)
2. Clay Pigeon Shooting Two shooters shoot clay pigeons. Gail has an 80% accuracy rate and Paul has a 60% accuracy rate. Paul shoots first. The first person who hits the target wins. Find the probability that each wins. (30).
3. Basketball Foul Shots A basketball player has a 60% success rate for shooting foul shots. If she gets two shots, find the probability that she will make one or both shots. (50).
4. Which would be easier to simulate with random numbers, baseball or soccer? Explain.
5. Explain how cards can be used to generate random numbers.
6. Explain how a pair of dice can be used to generate random numbers.