Question

For two independent​ events, A and​ B, ​P(A)equals . 3 and​P(B)equals . 2 . a. Find ​P(Aintersect ​B). b. Find​ P(A|B). c. Find ​P(Aunion ​B). a.​ P(Aintersect ​B)equalsnothing b.​P(A|B)equals nothing c.​ P(Aunion ​B)equalsnothing. Any expert yet

Answer 1

Answer:

a) 0.06

b) 0.3

c) 0.44                                        

Step-by-step explanation:

We are given the following in the question:

A and B are two independent events.

P(A) = 0.3

P(B) = 0.2

a) P(A intersect ​B)

$P(A\cap B) = P(A)\times P(B) = 0.3\times 0.2 = 0.06$  

b) P(A|B)

$P(A|B) = \dfrac{P(A\cap B)}{P(B)} = \dfrac{0.06}{0.2} = 0.3$

c) P(A union ​B)

$P(A\cup B) = P(A) + P(B) - P(A\cap B)\\P(A\cup B) = 0.3 + 0.2 - 0.06 = 0.44$