Question

"The chance of rain for Monday is 20% and Tuesday is 70%. what is the probability that it will rain Monday but not Tuesday?"

- Compound probability
explain in full detail and show your work

Answer 1

6%

Explanation:

Probability of rain for Monday = 20% = 0.2

Probability of rain for Tuesday = 70% = 0.7

If the probability that an event occurs is p, the probability that the same event will not occur is 1– p

Hence, the probability of rain not falling on Tuesday = 1– 0.7 = 0.3

Therefore probability rain falls on Monday but not Tuesday = 0.2 × 0.3 = 0.06 = 6%

Hope this helps.