Question

There is a 15% it will rain on both Saturday and Sunday. There is a 60% chance of rain on Saturday. What is the chance of

Answer 1

Answer:

25%

Step-by-step explanation:

This question is about conditional probability. Let's say that the probability of raining on Saturday is X=true and the probability of raining on Sunday is Y=true. There is a 15% it will rain on both Saturday and Sunday, to put into the equation it will be:

P(X= true ∩ Y = true) = P(X = true) * P(Y = true)= 0.15

There is a 60% chance of rain on Saturday, mean the  equation is

P(X = true) = 0.6

The question is asking for the chance of rain on Sunday or P(Y = true). If we substitute the second equation to first, it will be:

P(X = true) * P(Y = true)= 0.15

0.6* P(Y = true)= 0.15

P(Y = true)= 0.15/0.6

P(Y = true)= 0.25 = 25%