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INDEPENDENT EVENTS
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Events that do NOT have an affect on another event. Examples: Tossing a coin Drawing a card from a deck
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P(A, then B) = P(A) X P(B)
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Example You draw from a hat slips of paper numbered 0 – 9. After drawing a slip of paper, you look at the number then replace it in the hat. Find the probability of: 1. Drawing 2 sevens 2. Drawing an odd number, then an even. 3. Drawing a 3, then an even number.
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Example You draw from a hat slips of paper numbered 0 – 9. After drawing a slip of paper, you look at the number then replace it in the hat. Find the probability of: 1. Drawing 2 sevens
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Example You draw from a hat slips of paper numbered 0 – 9. After drawing a slip of paper, you look at the number then replace it in the hat. Find the probability of: 1. Drawing 2 sevens
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Example You draw from a hat slips of paper numbered 0 – 9. After drawing a slip of paper, you look at the number then replace it in the hat. Find the probability of: 2. Drawing an odd number, then an even.
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Example You draw from a hat slips of paper numbered 0 – 9. After drawing a slip of paper, you look at the number then replace it in the hat. Find the probability of: 2. Drawing an odd number, then an even.
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Example You draw from a hat slips of paper numbered 0 – 9. After drawing a slip of paper, you look at the number then replace it in the hat. Find the probability of: 3. Drawing a 3, then an even number.
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Example You draw from a hat slips of paper numbered 0 – 9. After drawing a slip of paper, you look at the number then replace it in the hat. Find the probability of: 3. Drawing a 3, then an even number.
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Example You play a game in which you draw a card colored red, green, blue, or yellow. You then roll a number cube. Find the probability of: 1. P(Green, 6) 2. P(Blue or yellow, 5) 3. P(Red, odd) 4. P(Not blue, 2)
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Example You play a game in which you draw a card colored red, green, blue, or yellow. You then roll a number cube. Find the probability of: 1. P(Green, 6)
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Example You play a game in which you draw a card colored red, green, blue, or yellow. You then roll a number cube. Find the probability of: 1. P(Green, 6)
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Example You play a game in which you draw a card colored red, green, blue, or yellow. You then roll a number cube. Find the probability of: 2. P(Blue or yellow, 5)
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Example You play a game in which you draw a card colored red, green, blue, or yellow. You then roll a number cube. Find the probability of: 2. P(Blue or yellow, 5)
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Example You play a game in which you draw a card colored red, green, blue, or yellow. You then roll a number cube. Find the probability of: 3. P(Red, odd)
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Example You play a game in which you draw a card colored red, green, blue, or yellow. You then roll a number cube. Find the probability of: 3. P(Red, odd)
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Example You play a game in which you draw a card colored red, green, blue, or yellow. You then roll a number cube. Find the probability of: 4. P(Not blue, 2)
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Example You play a game in which you draw a card colored red, green, blue, or yellow. You then roll a number cube. Find the probability of: 4. P(Not blue, 2)
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Example A baseball player has a batting average of 0.300. The next batter has a batting average of 0.275. What is the probability both will get a hit the next time up to bat? This is just a little over 8% of the time.
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ASSIGNMENT 12.5A: 1 – 7, 15 – 20, 32
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