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It is well-known that in Hanover in the Spring, it is either sunny or rainy every day, and the probability that the weather one day is the same as the weather the previous day is 2/3. Suppose it was sunny on May 1st and May 10th. What is the probability that it was sunny on May 3rd

1 Answer

6 votes

Answer:

0.44

Explanation:

May 1st was a sunny day. May 10th was a sunny day. The date closest to May 3rd is May 1st so analysis can start from there.

The probability that the weather one day is same as the weather on the previous day = 2/3

In this light, the probability that May 2nd was a sunny day is 2/3 (since May 1st was sunny).

The probability that it was sunny on May 3rd is 2/3 of 2/3 = 2/3 × 2/3 = 4/9 = 0.44

User Pavel Matuska
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