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Probability

P (vowel) =. number of favorable outcomes. 1 4. total number of possible outcomes. 1 4. P (vowel) = = 0.25 = 25%. Write as a fraction, decimal, and percent. Probability. COURSE 2 LESSON 12-1.

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Probability

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  1. P(vowel) = number of favorable outcomes 1 4 total number of possible outcomes 1 4 P(vowel) = = 0.25 = 25% Write as a fraction, decimal, and percent. Probability COURSE 2 LESSON 12-1 Find the probability of selecting a vowel from the letters F, G, H, and I. Express the probability as a fraction, decimal, and a percent. The event vowel has one outcome, I, out of four possible outcomes. 12-1

  2. number of favorable outcomes 5 11 P(white shirt) = total number of possible outcomes Probability COURSE 2 LESSON 12-1 Jacques has 1 blue shirt, 5 white shirts, 3 green shirts, and 2 brown shirts. He selects a shirt from his closet with his eyes shut. Find each probability. a.P(white shirt) There are 11 possible outcomes. The event white shirt has 5 favorable outcomes. 12-1

  3. P(colored shirt) = number of favorable outcomes number of favorable outcomes 6 11 1 11 total number of possible outcomes total number of possible outcomes P(blue shirt) = Probability COURSE 2 LESSON 12-1 (continued) b.P(colored shirt) There are 11 possible outcomes. The event colored shirt has 6 favorable outcomes. c. P(blue shirt) There are 11 possible outcomes. The event blue shirt has 1 favorable outcome. 12-1

  4. The probability of a member being selected at random from one of the 6 New England States is , or 0.12. 12 100 P(New England) + P(not New England) = 1 Write the formula. Probability COURSE 2 LESSON 12-1 What is the probability that a member of the United States Senate (100 members with two members representing each state) will not be from one of the New England states: Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, and Connecticut? Find P(not New England) as a decimal, a fraction, and a percent. 12-1

  5. 0.12 – 0.12 + P(not New England) = 1 – 0.12Subtract 0.12 from each side. 22 25 P(not New England) = 0.88 = = = 88% 88 100 0.12 + P(not New England) = 1 Substitute 0.12 for P(New England). Probability COURSE 2 LESSON 12-1 (continued) 12-1

  6. odds in favor = 5 to 4 or 5 : 4. Five are worth more than six cents. Four are not. Probability COURSE 2 LESSON 12-1 There are two quarters, three dimes, a nickel, and three pennies in a bowl. What are the odds that a single coin, chosen at random from the bowl, is worth more than six cents? The odds that a coin is worth more than six cents are 5 to 4 in favor. 12-1

  7. 3 20 7 10 , 0.15, 15% , 0.7, 70% Probability COURSE 2 LESSON 12-1 In a stack are several number cards: three 1s, four 2s, three 3s, two 4s, two 6s, and six 7s. You pick a card at random. 1. Write P(3) as a fraction, a decimal, and a percent. 2. Write P(not 7) as a fraction, a decimal, and a percent. 3. What are the odds of randomly picking a 1? 3 : 17 or 3 to 17 12-1

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