Question

I like to run (or really jog). The probability that it rains today is .2 and the probability of a sunny day is .8. If it is a rainy day there is a 30% chance I go for a jog and if it is sunny there is a 60% chance I go for a jog.

Answer 1

To find the probability that the student goes for a jog, multiply the probability of rain by the probability of going for a jog on a rainy day, and multiply the probability of sunshine by the probability of going for a jog on a sunny day. Add the two probabilities together to find the overall probability.

Step-by-step explanation:

To find the probability that the student goes for a jog on a rainy day, we multiply the probability of rain (.2) by the probability of going for a jog on a rainy day (.3).

This gives us a probability of 0.06. To find the probability that the student goes for a jog on a sunny day, we multiply the probability of sunshine (.8) by the probability of going for a jog on a sunny day (.6).

This gives us a probability of 0.48. Finally, we add the two probabilities together to find the overall probability that the student goes for a jog. 0.06 + 0.48 = 0.54. Therefore, there is a 54% chance that the student goes for a jog.