There is an 80% chance David will eat a healthy breakfast and a 25% chance that it will rain. If these events are independent, what is the probability that David will eat a healthy breakfast or that it will rain?

The probability that David will eat a healthy breakfast or that it will rain is 0.85 or 85%.

Step-by-step explanation:

Consider the provided information.

There is an 80% chance David will eat a healthy breakfast.

P (H) = 0.8

There is a 25% chance that it will rain.

P (R) = 0.25

The probability of David will eat a healthy breakfast and it will rain is:

P (H ∩ R) = 0.8 * 0.25 = 0.2

P (H ∪ R) = P (H) + P (R) - P (H ∩ R)

P (H ∪ R) = 0.8 + 0.25 - 0.2

P (H ∪ R) = 0.85

Hence, the probability that David will eat a healthy breakfast or that it will rain is 0.85 or 85%.