Question

Help please

There is an 80% chance of rain tomorrow and a 20% chance the football game will be postponed. What is the probability that it will rain tomorrow and the football game will be postponed?

4%
16%
20%
60%

Answer 1

there is a 4% chance the game will be postponed

Answer 2

The probability is 16%

Explanation:

Let's call A the event in which there is rain tomorrow and B the event in which the football game is postponed.

So, Taking into account that the event A and B are independent, the probability that happens A and B is calculated as:

P(A∩B) = P(A)*P(B)

From the question, we know that P(A) is 80% and P(B) is 20%, so P(A∩B) is:

P(A∩B) = 0.8*0.2=0.16

Then, the probability that it will rain tomorrow and the football game will be postponed is 0.16 or 16%