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A nearby star system has been found to have two habitable planets planetA and planetB. The...

A nearby star system has been found to have two habitable planets planetA and planetB. The probability of life being present on planetA is 0.3 while the probability of life being present on planetB is 0.4. (a) What is the probability of life being present on both planets if these events are independent? (b) What is the probability of life being present on at least one of the planets if these events are independent?

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Answer #1

Given that P(A)=0.3 , P(B)=0.4

Since , the events are independent.

Now , if the events are independent, then

(a) Required probability =

Therefore , the probability of life being present on both planets is 0.12

(b) By using addition rule ,

Required probability =

Therefore , the probability of life being present on at least one of the planets is 0.58

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