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Based on meteorological records, there is significant rainfall 30% of the days in a year If there is significant rainfall on any given day. 75% of the time there was significant rainfall the prior day. However, if there is no significant rainfall on a given day. there was significant rainfall the prior day only 40% of the time Answer the following for a randomly selected day: What is the probability of no significant rainfall on a day. it there was no significant rainfall on the prior day?

a. 0.857
b. 0.848
c. 0.42
d. 0.40
e. 0.152

Respuesta :

Answer:

a. 0.857

Step-by-step explanation:

Data provided in the question

Significant rainfall = 30%

Significant rainfall in the prior day = 75%

Significant rainfall the prior day in the case of no significant rainfall = 40% of the time

Now the probability of no significant rainfall on a day is

= P(B) + P( B ÷ A) - P(A)

= 0.75 + 0.40 - 0.30

= 0.85

Hence, the correct answer is a. 0.857

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