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
[tex]P(A\cup B)=P(A)+P(B)-P(A\cap B).....................(i)[/tex]
We know that
[tex]P(A\cap B)=P(A)\times P(B)\\\\\therefore P(A\cap B)=0.65\times 0.30=0.195[/tex]
Applying values in the equation (i) we get
[tex]P(A\cup B)=0.65+0.3-0.195\\\\\therefore P(A\cup B)=0.755[/tex]
