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MATH 110 Sec 13.3 Conditional Probability Practice Exercises.

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Presentation on theme: "MATH 110 Sec 13.3 Conditional Probability Practice Exercises."— Presentation transcript:

1 MATH 110 Sec 13.3 Conditional Probability Practice Exercises

2 Assume that 2 cards are drawn from a standard 52-card deck. If the cards are drawn without replacement, find the probability of drawing a diamond followed by a non-diamond.

3 MATH 110 Sec 13.3 Conditional Probability Practice Exercises Assume that 2 cards are drawn from a standard 52-card deck. If the cards are drawn with replacement, find the probability of drawing a diamond followed by a non-diamond.

4 MATH 110 Sec 13.3 Conditional Probability Practice Exercises

5 Here we are “given that” the disk is pink. That means that we can eliminate all non-pink disks from the conditional sample space. X X X X X X X

6 MATH 110 Sec 13.3 Conditional Probability Practice Exercises Assume that you are drawing two balls without replacement from an urn containing 11 green balls, 8 blue balls and 3 red balls. What is the probability that you will draw a red ball and a green ball? (Hint: There are 2 ways this can happen.)

7 MATH 110 Sec 13.3 Conditional Probability Practice Exercises If we roll a pair of dice two times. What is the probability that a total of 7 is rolled each time?

8 MATH 110 Sec 13.3 Conditional Probability Practice Exercises Find the probability, P(Q ∩ R), associated with the tree diagram. R S R S R S M N Q 0.2 0.3 0.8 0.7 0.2 0.4

9 MATH 110 Sec 13.3 Conditional Probability Practice Exercises A penny and a nickel are flipped. Event A: Heads on the penny. Event B: Tails on the nickel Are A and B dependent or are they independent events?

10 MATH 110 Sec 13.3 Conditional Probability Practice Exercises A penny and a nickel are flipped. Event A: Heads on the penny. Event B: Tails on the penny Are A and B dependent or are they independent events?

11 MATH 110 Sec 13.3 Conditional Probability Practice Exercises MEALS SERVICE GOOD SERVICE POORTOTAL Lunch282250 Dinner421759 TOTAL7039109 The table shows the results of a restaurant survey. Find the probability that the service was good, given that the meal was dinner.


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