Unit 11 probability and statistics homework 3 conditional probability

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Monday, April 8
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Dice Probabilities

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Tuesday, April 9
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Set Notation & Venn Diagrams

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Wednesday, April 10
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Mutually Exclusive & Overlapping

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Thursday, April 11
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***#3 is wrong!   you should subtract 2/52 because there are two red aces!  so the final answer should be 7/13!!!

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Friday, April 12
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Monday, April 15
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Conditional Probability

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Tuesday, April 16
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Independent vs Dependent

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Wednesday, April 17
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Frequency Tables

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KEY - do not do #3 b & d on the back

Thursday, April 18
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Wednesday, May 1
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Extra Practice

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Extra Practice KEY

  • Meteorologist (News):Every year, scientists work to figure out the likelihood of hurricanes. They are able to calculate the chances of hurricane activity in a variety of different places, and you can find out the probability of a hurricane hitting your own town, city, state, or area.

  • Baseball: Baseball is a sport that has used probabilities and statistics since the 1800s. In fact, the statistics of players can determine when they bat, which position they play, and even how much their salary is. Baseball is a sport ruled by math!

Let A and B be two events associated with a random experiment. Then, probability of the occurrence of A given that B has already occurred is called conditional probability and denoted by P(A/B)

Example : A bag contains 5 black and 4 blue balls. Two balls are drawn from the bag one by one without replacement. What is the probability of drawing a blue ball in the second draw if a black ball is already drawn in the first draw?

Let A be the event of drawing black ball in the first draw and B be the event of drawing a blue ball in the second draw. Then, P(B/A) = Probability of drawing a blue ball in the second draw given that a black ball is already drawn in the first draw.

Total Balls = 5 + 4 = 9

Since a black ball is drawn already,
total number of balls left after the first draw = 8
total number of blue balls after the first draw = 4
P(B/A) =48=12