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Warm Up

Warm Up. Solve each Proportion:. Write each fraction as a Decimal and a percent:. 1). X=9. 4). .95; 95%. .62; 62%. 2). X=43.75. 5). 1.1; 110%. 3). X=10.5. 6). Lesson 12.1. SSS: M.A.A.1.3.3 M.A.E.2.3.2. Probability. Vocabulary: Outcome, event,

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Warm Up

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  1. Warm Up Solve each Proportion: Write each fraction as a Decimal and a percent: 1) X=9 4) .95; 95% .62; 62% 2) X=43.75 5) 1.1; 110% 3) X=10.5 6)

  2. Lesson 12.1 SSS: M.A.A.1.3.3 M.A.E.2.3.2 Probability Vocabulary: Outcome, event, Theoretical probability, complement, Odds in favor, odds against 6th Advanced

  3. An outcome is the result of an action. For example: 6 is a possible outcome when a number cube is rolled once. An event is an outcome or a group of outcomes. If all outcomes are equally likely, you can use A formula to find the theoretical probability. theoretical probability = p(event) =

  4. Suppose you select a letter at random from the following letters: A B C D E Find the probability that you select a vowel. Express the probability as a fraction, decimal, and a percent. The event vowel has 2 favorable outcomes, And there are 5 possible outcomes…so… = .4 = 40% P(vowel) = *Now you find P(consonant) Don’t forget to express the probability as a fraction, decimal, and a percent. P(consonant) = = .6 = 60%

  5. All probabilities range from 0 to 1. The Probability of rolling a 7 on a number cube is 0, because it is an impossible event. The Probability of rolling a number less than 7 is 1, because it is a certain event. Impossible event Certain event Find the following probabilities if you roll a number cube once. P(multiple of 3) P(even number) P(multiple of 8)

  6. The complement of an event is the collection of outcomes not contained in the event. The Probability of the compliment of an event is Written P(not event). *An event plus its compliment will always equal 1, because it will always be certain. For Example: Earlier we found the probability of selecting a Vowel/Consonant from the letters: A B C D E P(vowel) = .4 P(consonant) = .6 Using the compliment we can say P(vowel) + P(not vowel) .4 + .6 = 1 Find the following: (You roll a standard number cube once.) P(not multiple of 3) P(not even)

  7. Odds Odds in favorof an event = the ratio of the number of favorable outcomes to the number of unfavorable outcomes Odds against an event = the ratio of the number of unfavorable outcomes to the number of favorable outcomes Find the odds that a ball chosen at random will be blue. 3:9 Find the odds against choosing a black Ball. 11:1

  8. Reason out the following… A bag contains an unknown number of marbles. You know that P(red)= and P(green)= a. Are all the marbles in the bag red or green? Explain. We know that out of every 4 marbles in the bag, 1 is red and 1 is green. So we also know that out of every 4 marbles 2 are a color other than red or green. How many marbles in total might be in the bag? Explain. It can be any positive integer that is divisible by four. We know this because we were told that one-fourth of the number is either red or green.

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