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Simple & Compound Probability Name: _______________________________ Directions: Use your former knowledge and intuition to answer the basic probability questions. There are hints on the back if needed. One of these names is to be drawn from a hat. Determine each probability below: Mary Jenny Bob Marilyn Bill Jack Jerry Tina Connie Joe 1. P(a 5-letter name that ends with an e) = ________________ (What is the probability of drawing a 5-letter name that ends with an e?) 2. P(4-letter name) = _____________ 3. P(name starting with B) = ____________ 4. P(name starting with J and 5-letter name) = ______________ 5. P(name starting with J or a name ending with Y) = _____________ One card is drawn from a well-shuffled deck of 52 cards. 6. P(a black ace) = ________ 7. P(a face card or a card with a prime number) = _________ 8. P(a red 10 or a black 7) = ________ 2 A spinner, numbered 1–8, is spun once. What is the probability of spinning… 1 3 8 4 7 5 6 9. P(NOT a diamond) = ______________ 10. at least a 5? ___________ 11. a prime number? _________ 12. Suppose that the probability of snow is 0.58. What is the probability that it will NOT snow? ________________ Hints: If A and B are mutually exclusive events, then P(A or B) = P(A) + P(B). and If A and B are inclusive events, then P(A or B) = P(A) + P(B) – P(A B). Apply the probability skills from above 13. A weather forecaster states that the probability of rain is 3/5, the probability of lightning is 2/5, and the probability of both is 1/5. What is the probability of a sporting event being cancelled due to rain or lightning? 14. A bag contains cards numbered from 1 to 14. One card is drawn at random. Find the probability of selecting an 8 or a number less than 8. 15. Find the probability of selecting a boy or a blond-haired person from 12 girls, 5 of whom have blond hair, and 15 boys, 6 of whom have blond hair.