INDEPENDENT EVENTS. Events that do NOT have an affect on another event. Examples: Tossing a coin Drawing a card from a deck.

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Presentation transcript:

INDEPENDENT EVENTS

Events that do NOT have an affect on another event. Examples: Tossing a coin Drawing a card from a deck

P(A, then B) = P(A) X P(B)

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.

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

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

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.

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.

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.

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.

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)

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)

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)

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)

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)

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)

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)

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)

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)

Example A baseball player has a batting average of The next batter has a batting average of 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.

ASSIGNMENT 12.5A: 1 – 7, 15 – 20, 32