Question

The probability of rain on Thanksgiving Day in Boston is 0.65, while the probability of rain in Honolulu is 0.30. What is the probability that it rains in Boston or Honolulu on Thanksgiving Day?

Answer 1

Answer:

The probability of raining either in Boston or in Honolulu is 0.755

Explanation:

Give the following:

probability of raining in Boston = 0.65 = P(A)

Probability of raining in Honolulu = 0.30 = P(B)

Now by law of addition of probabilities we have

$P(A\cup B)=P(A)+P(B)-P(A\cap B).....................(i)$

We know that

$P(A\cap B)=P(A)\times P(B)\\\\\therefore P(A\cap B)=0.65\times 0.30=0.195$

Applying values in the equation (i) we get

$P(A\cup B)=0.65+0.3-0.195\\\\\therefore P(A\cup B)=0.755$