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Given that there is a 23% chance it will rain on any day, what is the probability that it will rain on the first day and be clear (not rain ) on the next two days?

User BigSack
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1 Answer

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Probability that it will rain on the first day and be clear (not rain ) on the next two days is 0.1719 .

Explanation:

We are given that there is a 23% chance it will rain on any day, we need to find what is the probability that it will rain on the first day and be clear (not rain ) on the next two days . Let's do it step by step:

Probability for first day is to rain i.e.
(23)/(100) = 0.23.

Probability for second day is to not rain i.e.
1-(23)/(100) =1- 0.23=0 .77.

Probability for third day is to not rain i.e.
1-(23)/(100) =1- 0.23=0 .77.

Now, Probability for occurrence of these 3 events simultaneously is :


(0.23)(0.77)(0.77)


(0.23)(0.5929)


0.1719

Probability that it will rain on the first day and be clear (not rain ) on the next two days is 0.1719 .

User Andandandand
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