Suppose that when the weather is rainy the probability that Lily goes to her outdoor baseball practice is 0.1, but when it's not raining the probability is 0.9. The probability it will rain tomorrow is 0.3. Determine the probability that She will go to her baseball practice tomorrow.

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Answered question

2020-11-10

Suppose that when the weather is rainy the probability that Lily goes to her outdoor baseball practice is 0.1, but when it's not raining the probability is 0.9. The probability it will rain tomorrow is 0.3. Determine the probability that She will go to her baseball practice tomorrow.

Answer & Explanation

irwchh

irwchh

Skilled2020-11-11Added 102 answers

Let A denote the event that Lily goes to practice, and let B denote the event that rains. Then
P(A)=P(AB)P(B)+P(ABc)P(Bc)
(B* is the complementary event of B — here it is the event that it does not rain). Also,
P(B)=0.3P(Bc)=1P(B)=0.7
Also, we are given that
P(AB)=0.1
P(ABc)=0.9
Therefore,
P(A)=0.10.3+0.90.7=0.66

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