Question

For two independent events A and B, what is P (A+B), given P(A) = 3/5 and P(B) = 2/3?
(a) 11/15
(b) 13/15
(c) 7/15
(d) 0.65​

Answer 1

Answer:

P(A + B) = 13/15

Step-by-step explanation:

P(A) = Probability of Event A Heppening

P(A') = Probability of Event A not Happeining

P(A) = 3/5  => P(A') = 1 - 3/5  = 2/5

P(B) = 2/3  => P(B') = 1 - 2/3  = 1/3

P(A + B) = 1 - Probability of Event A & B not happening

P(A + B) = 1  - P(A')P(B')

=> P(A + B) = 1  -  (2/5)(1/3)

=> P(A + B) = 1  -  2/15

=> P(A + B) = 13/15