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

leviattan0pi

leviattan0pi

Answered question

2021-11-12

Given the probability that "she's up all night 'till the sun" OR "she's up all night for good fun" is 0.27, the probability that "she's up all night for good fun" is 0.39, and the probability that "she's up all night 'till the sun" AND "she's up all night for good fun" is 0.35, what's the probability that "she's up all night 'til the sun"?
Round to 2 decimal places as needed.

Answer & Explanation

Lupe Kirkland

Lupe Kirkland

Beginner2021-11-13Added 21 answers

Step 1
Given data:
The probability that she's up all night until the sun OR she's up all night for good fun is P(AUB)=0.27.
The probability that she's up all night for good fun is P(B)=0.39.
The probability that she's up all night until the sun AND she's up all night for good fun is P(AB)=0.35.
The expression for the probability that she's up all night until the sun OR she's up all night for good fun is,
P(AB)=P(A)+P(B)P(AB)
Step 2Substitute the given values in the above expression.
0.27P(A)=P(A)+0.390.35
P(A)=0.23
Thus, the probability that she's up all night until the sun is 0.23.

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