Given the probability that "she's up all night 'til the sun" OR "she's

inlays85k5

inlays85k5

Answered question

2021-11-16

Given the probability that "she's up all night 'til the sun" OR "she's up all night for good fun" is 0.31, the probability that "she's up all night for good fun" is 0.49, and the probability that "she's up all night 'til the sun" AND "she's up all night for good fun" is 0.39, what's the probability that "she's up all night 'til the sun"?

Answer & Explanation

Keith Dooley

Keith Dooley

Beginner2021-11-17Added 14 answers

Step 1
Given data:
The given probability that she's up all night til the sun or she's up all night for good fun is P(XY)=0.31.
The given probability that she's up all night for good fun is P(Y)=0.49.
The given probability that she's up all night til the sun and she's up all night for good fun is P(XY)=0.39.
The expression for the probability that she's up all night til the sun or she's up all night for good fun is,
P(XY)=P(X)+P(Y)P(XY)
Step 2
Substitute the given values in the above expression.
0.31=P(X)+0.490.39
0.31=P(X)+0.10
P(X)=0.21
Thus, the probability that she's up all night til the sun is 0.21.

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