The weather forecast says that the probability of the being cloudy tomorrow is 30% and the probability of it raining is 25%. If it rains, the probability of being cloudy is 95%. What is the probability of it being rainy and cloudy?

your answer is c

Step-by-step explanation:

here is your work let me know  if you got it right

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Probability of the being cloudy tomorrow is P(A) = 30% = 0.3

Probability of raining is P(B) = 25% = 0.25

Given it rains, the probability of being cloudy is P(A|B) = 0.95

The probability of it being rainy and cloudy P(A⋂B).

Apply Bayes theorem:

=> P(A⋂B) =P(A|B) x P(B) = 0.95 x 0.25 = 0.2375 = 23.75%

=> Option C is correct

Hope this helps!

:)

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950