20 In a village,
if it rains on one day, the probability
that it will rain on the next day is 0.8
if it does not rain on one day, the probability that it will rain on the next day is 0.6
A weather forecaster says,
“There is a 70% chance that it will rain in the village on Monday.”
Work out an estimate for the probability that it will rain in the village on Wednesday.
lou must show all your working.

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joaobezerra joaobezerra · Answer 1 · 2022-05-05T17:29:10+02:00

Using it's concept, it is found that there is a 0.643 = 64.3% probability that it will rain in the village on Wednesday.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, considering Monday - Tuesday - Wednesday, the possible outcomes are as follows:

R - R - R(0.7 x 0.7 x 0.7)

R - N - R(0.7 x 0.2 x 0.6)

N - R - R(0.3 x 0.6 x 0.8)

N - N - R(0.3 x 0.4 x 0.6)

Then, the probability is given by:

p = 0.7 x 0.7 x 0.7 + 0.7 x 0.2 x 0.6 + 0.3 x 0.6 x 0.8 + 0.3 x 0.4 x 0.6 = 0.643.

0.643 = 64.3% probability that it will rain in the village on Wednesday.

More can be learned about probabilities at https://brainly.com/question/14398287

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