(a) P(blue, then red) (b) P(clear, then clear)

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CR: Chapter Review
Problem 7CC: a What is meant by the conditional probability of E given F? How is this probability calculated? b...
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Example 3 I’m not sure how to start it
If A and B are independent events, then the probability that both A and B occur is:
separate probabilities of the individual events together. This works out only slightly
conditional probability- The probability that an event, B, occurs given that an event, A,
In general, to find the probability of more than one event occurring, we multiply the
has occurred, is called the conditional probability of B given A and is written BIA.
differently when the events are independent or dependent.
If A and B are dependent events, then the probability that both A and B occur is:
ore events, in which the occurrence of
P(A and B) = P(A) u P(B)
P(A and B) = P(A) u P(B|A)
(a) P(blue, then red)
(b) P(clear, then clear)
Example 4: There are 15 marbles in a bag, 5 are blue, 3 are red, and 7 are clear. If a
marble is pulled from the bag, and then a second marble is pulled out, find:
(b) P(clear, then clear)
(a) P(blue, then red)
Transcribed Image Text:If A and B are independent events, then the probability that both A and B occur is: separate probabilities of the individual events together. This works out only slightly conditional probability- The probability that an event, B, occurs given that an event, A, In general, to find the probability of more than one event occurring, we multiply the has occurred, is called the conditional probability of B given A and is written BIA. differently when the events are independent or dependent. If A and B are dependent events, then the probability that both A and B occur is: ore events, in which the occurrence of P(A and B) = P(A) u P(B) P(A and B) = P(A) u P(B|A) (a) P(blue, then red) (b) P(clear, then clear) Example 4: There are 15 marbles in a bag, 5 are blue, 3 are red, and 7 are clear. If a marble is pulled from the bag, and then a second marble is pulled out, find: (b) P(clear, then clear) (a) P(blue, then red)
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