1. Homework Answers 1)1 2)1 3)1 4)3 5)40/243 or.1646 6).1009023713 7)7/1024 or.0068359375

2. AT MOST/AT LEAST Probability All probability answers should be a FRACTION or DECIMAL Between 0 (impossible) and 1(certain) !!!! Probability Formula: (Must be memorized!!) n = number of attempts r = number of times you WANT something to occur EXACTLY means_______________________ AT MOST means _______________________ AT LEAST means_______________________ p = probability of what you WANT to occur q = probability of what you DO NOT WANT to occur *** p & q are SIMPLE PROBABILITIES (fraction/decimal) & will *** ***ALWAYS ADD up to 1*** Use ONLY this number for r Use this number for r and all whole #’s less include 0 Use this number for r and all whole #’s more till you get to & include n When there is MORE THAN ONE r value, you must find probability for each value then ADD the results!

3. Team A and team B are playing in a league. They will play each other five times. If the probability that team A wins a game is, what is the probability that team A will win at least three of the five games? n = r = p = q = 5 At least 3→ 3, 4, 5 Wins → 1/3 2/3

4. On any given day, the probability that the entire Watson family eats dinner together is. Find the probability that, during any 7-day period, the Watsons do not eat dinner together at most 2 nights. n = r = p = q = 7 At MOST 2→ 2, 1, 0 Do NOT eat → 3/5 2/5

5. As shown in the accompanying diagram, a circular target with a radius of 9 inches has a bull’s-eye that has a radius of 3 inches. If five arrows randomly hit the target, what is the probability that at least four hit the bull’s-eye?

6. A board game has a spinner on a circle that has five equal sectors, numbered 1, 2, 3, 4, and 5, respectively. If a player has four spins, find the probability that the player spins an even number no more than two times on those four spins.

7. On mornings when school is in session in January, Sara notices that her school bus is late one-third of the time. What is the probability that during a 5-day school week in January her bus will be on time at least three times?