Given the following: p(a) =0.3 p(b) = 0.2 p(a and b) = 0.4 which of the following is true?

Answer

Given that,

P(A) =0.3

P(B) = 0.2

P(A and B) = 0.4

P(A OR B) = 0.1

If A and B are disjoint events,

P(A and B) = P(A) + P(B)

0.4 0.3 + 0.2 =
0.5

Not disjoint

If A and B are independent then,

P(A or B) = P(A) * P(B)

0.1 0.3 * 0.2 =
0.06

Not independent

A and B are neither disjoint nor
independent.