The weather is becoming important to you since you would like to go on a picnic today.If it was sunny yesterday, there is a 70% chance it will be sunny today.If it was raining yesterday, there is a 30% chance it will be sunny today.If the probability that it was raining yesterday is 0.25, what is the probability that it will rain today?
A)0.1
B)0.3
C)0.4
D)0.7

Question

Quizplus · Accepted Answer

To find the probability that it will rain today, we need to calculate the probability that it will not be sunny today. The probability it was sunny yesterday is 0.75 (since it was raining yesterday with probability 0.25). The probability it will be sunny today given it was sunny yesterday is 0.7, and given it was raining yesterday is 0.3. So, the probability it will be sunny today is (0.75 * 0.7) + (0.25 * 0.3) = 0.525 + 0.075 = 0.6. Therefore, the probability it will rain today is 1 - 0.6 = 0.4.

The Weather Is Becoming Important to You Since You Would