If A and B are two mutually exclusive events with P(A) = 0.35 and P(B) = 0.55, find the following probabilities: a. P(A ∩ B) =____ b. P(A ∪ B) =____ c. P(A)' =____ d. P(B)' =____ e. P(A ∪ B)' =____ f. P(A ∩ B' ) =____

Respuesta :

Answer:

a) P(A∩B)=0.35×0.55=0.1925

b)P(A∪B)=0.35+0.55=0.9

c)P(A)'=1-0.35=0.65

d)P(B)'=0.45

e)P(A∪B)'=0.1

f)P(A∩B)'=1-0.1925=0.8075

Step-by-step explanation:

a) P(A∩B)=0.35×0.55=0.1925

b)P(A∪B)=0.35+0.55=0.9

c)P(A)'=1-0.35=0.65

d)P(B)'=0.45

e)P(A∪B)'=0.1

f)P(A∩B)'=1-0.1925=0.8075