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)

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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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