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13. Conditional probability P(A|B) • is the probability that • For example, imagine the cxperiment of tossing a fair coin twice for which you want find the probability of getting heads both times (event A). The probability of that event (P(A)) is 1/4. After tossing the coin once, you got heads (event B = you get head in the first tossing). Now you are about to toss the coin one more time. At this moment, what is the probability to get two heads (P(A|B)? • formula: P(A|B) = formula (1.1) • formula: P(B|A) %3D formula (1.1) • So, P(A|B) + P(B|A) in general. (they can be the same)

13. Conditional probability P(A|B) • is the probability that • For example, imagine the cxperiment of tossing a fair coin twice for which you want find the probability of getting heads both times (event A). The probability of that event (P(A)) is 1/4. After tossing the coin once, you got heads (event B = you get head in the first tossing). Now you are about to toss the coin one more time. At this moment, what is the probability to get two heads (P(A|B)? • formula: P(A|B) = formula (1.1) • formula: P(B|A) %3D formula (1.1) • So, P(A|B) + P(B|A) in general. (they can be the same)

Algebra and Trigonometry (MindTap Course List)
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
Section14.2: Probability
Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...
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Conditional probability P(A|B)

13. Conditional probability P(A|B) is the probability that For cxample, imaginc the cxpcriment of tossing a fair coin twicc for which you want find the probability of getting heads both times (event A). The probability of that event (P(A)) is 1/4. After tossing the coin once, you got heads (event B = you get head in the first tossing). Now you are about to toss the coin one more time. At this moment, what is the probability to get two heads (P(A|B)? formula: P(A|B) = ..... formula (1.1) • formula: P(B|A) %3| formula (1.1) • So, P(A|B) + P(B|A) in general. (they can be the same) • Using the same sample space and events as in item 12, find P(A|B) = P(B|A) =
Transcribed Image Text:13. Conditional probability P(A|B) is the probability that For cxample, imaginc the cxpcriment of tossing a fair coin twicc for which you want find the probability of getting heads both times (event A). The probability of that event (P(A)) is 1/4. After tossing the coin once, you got heads (event B = you get head in the first tossing). Now you are about to toss the coin one more time. At this moment, what is the probability to get two heads (P(A|B)? formula: P(A|B) = ..... formula (1.1) • formula: P(B|A) %3| formula (1.1) • So, P(A|B) + P(B|A) in general. (they can be the same) • Using the same sample space and events as in item 12, find P(A|B) = P(B|A) =
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