ProbabilityHard
Question
The probability that at least one of the events A and B occurs is 0.6. If A and B occur simulta neously with probability 0.2, then P(
) + P(
) is
) + P() isOptions
A.0.4
B.0.8
C.1.2
D.1.4
Solution
Given, P(A ∪ B) = 0.6, (A ∩ B) = 0.2
∴ P() + P() = [1 - P(A)] + [1 + P(B)]
= 2 - [P(A) + P(B)]
= 2 - [P(A ∪ B) + P(A ∩ B)]
= 2 - [0.6 + 0.2] = 1.2
∴ P(
) + P() = [1 - P(A)] + [1 + P(B)]= 2 - [P(A) + P(B)]
= 2 - [P(A ∪ B) + P(A ∩ B)]
= 2 - [0.6 + 0.2] = 1.2
Create a free account to view solution
View Solution FreeMore Probability Questions
The odds in favour of escape of an enemy ship are 4 : 1. The probability that at least one ship out of three ships gets ...A coin is tossed three times. The probability of getting all heads or tails only is-...A coin is tossed three times. The probability that in the second toss head does not occur, is-...One ticket is selected at random from 50 tickets numbered 00, 01, 02, .... , 49. Then the probability that the sum of th...A fair coin is tossed repeatedly. If tail appears on first four tosses, then the probability of head appearing on fifth ...