If it rains, i do not go sailing. it rains 10% of days; i go sailing 3% of days.
if it does not rain, what is the (conditional) probability that i go sailing?
written "p(i go sailing | it does not rain)''?
a. 3.448%
b. 3.125%
c. 3.000%
d. 3.333%

D. 3.33%

Step-by-step explanation:

The conditional probability is the probability on an event in relation with another. In this case is the probability of going sailing "conditional" that is does not rain. The mathematical expression for this is:

P(go sailing (event A)| it does not rain (event B))

The conditional probability formula is:

P(A|B)=P(A and B)/P(B)

P(A and B) is that i got sailing and it is not raining, both events occur. This probability is 3% because I only go to sail if it is not raining.

P(B) is that it does not rain. If the probability that rain is 10% then the probability that does not rain is 90%

Then, we calculate P(A|B):

P(A|B)=3%/90%

P(A|B)= 3.33%