Report

P.O.D. #3 basic advanced You spin the spinner above and flip a coin. Determine the probability of spinning a 2 and flipping tails? Mr. & Mrs. Romero are expecting triplets. Determine the probability that they will have two boys and one girl. Sample Space: 1H, 1T, 2H, 2T, 3H, 3T, 4H, 4T, 5H, 5T Sample Space: GGG, GGB, GBG, GBB, BGG, BGB, BBG, BBB 1 P(2,tails) = 10 3 P(2B, 1G) = 8 Theoretical & Experimental Probability Theoretical probability is the ratio of the number of ways an event can occur to the number of possible outcomes. Experimental probability is an estimated probability based on the relative frequency of positive outcomes occurring during an experiment. Theoretical probability is based on what should happen when conducting a probability experiment. Experimental probability is based on what actually occurred during an experiment. Theoretical and experimental probability can be used to make predictions about future events. Example: Last month a DVD store sold 67 action DVDs, 58 comedy DVDs, 45 drama DVDs, and 30 horror DVDs. If the store expects to sell 500 DVDs this month, how many comedy DVDs should they expect to sell? P(comedy) = 58 = 29 200 100 The store should expect to sell 145 comedy DVDs. 29 c = 100 500 29 500 = 100 c 14,500 = 100c ÷100 ÷100 145 = c Whiteboard: A coin is tossed 50 times, and it lands on heads 28 times. Find the experimental probability and the theoretical probability of the coin landing on heads. Then, compare the experimental and theoretical probabilities. 1. Find the experimental probability of the coin landing on heads. 2. Find the theoretical probability of the coin landing on heads. 3. Compare the experimental and theoretical probabilities. Whiteboard: A coin is tossed 50 times, and it lands on heads 28 times. 1. Find the experimental probability of the coin landing on heads. 2. Find the theoretical probability of the coin landing on heads. 3. Compare the experimental and theoretical probabilities. Experimental Probability: 28 = 56% 50 Theoretical Probability: 1 = 50% 2 Compare: The experimental probability is 56%, which is close to the theoretical probability of 50%. Whiteboard: Yesterday, 50 bakery customers bought muffins and 11 of those customers bought banana muffins. If 100 customers buy muffins tomorrow, how many would you expect to buy a banana muffin? 11 = b 50 100 11 100 = 50 b 1100 = 50b ÷50 ÷50 22 = b I would expect 22 customers to buy a banana muffin.