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Conditional probability homework problems

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Conditional probability is defined as the likelihood of an event or outcome occurring, based on the occurrence of a previous event or outcome. Conditional probability is calculated by multiplying the probability of the preceding event by the updated probability of the succeeding, or conditional, event. For example:. Conditional probability can be contrasted with unconditional probability.
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Conditional Probability Worksheets

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Conditional Probability Problems with Solutions

In the casino game of roulette, some players think that if the ball lands on red several times in a row then it is more likely to land on black on the next spin. You can calculate probabilities to demonstrate that this is not the case. In other words, the outcome of one spin of a roulette wheel does not have any effect on the outcome of the next spin. Make an area model for two spins of the wheel. There are red numbers, black numbers, and two green numbers. Based on your diagram, what is the probability that the ball will land on red on the second spin?
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Conditional Probability Practice Questions

Username: Password: Register in one easy step! Reset your password if you forgot it. Algebra: Probability and statistics Section. Solvers Solvers. Lessons Lessons.
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Consider an urn containing 12 balls, of which 8 are white. A sample of size 4 is to be drawn with replacement without replacement. What is the conditional probability in each case that the first and third balls drawn will be white given that the sample drawn contains exactly 3 white balls? Three cards are randomly selected, without replacement, from an ordinary deck of 52 playing cards. Compute the conditional probability that the first card selected is a spade given that the second and third cards are spades.
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