Answer:
The probability is 0.5
Step-by-step explanation:
If there is a 50% chance of rain, then there is also a 50% chance of not rain.
Now let's write all the probabilities:
(just take the percentage and divide it by 100%)
Probability of rain: p = (50%/100%) = 0.5
probabiity for the squirrel to find food when it rains: q = (25%/100%) = 0.25
Then the joint probability, this is, the probability that rains and that the squirrel finds food, is equal to the product of these two probabilities, this is:
P1 = 0.5*0.25 = 0.125
And we also have the case where there is no rain.
Probability that does not rain: p' = (50%/100%) = 0.5
Probability that the squirrel finds food if doesn't rain: q = (75%/100%) = 0.75
The joint probability is:
P2 = 0.5*0.75 = 0.375
The total probability that the squirrel will find food is equal to the sum of the probabilities of the squirrel finding food if there is rain, and the probability of the squirrel finding food if there isn't rain, so the total probability is:
P = P1 + P2 = 0.125 + 0.375 = 0.5
