ProbabilityHard
Question
Two events A and B have probabilities 0.25 and 0.50 respectively. The probabilitity that both A and B occur simultaneoushly is 0.14 Then, the probability that neither A nor B occurs is
Options
A.0.39
B.0.25
C.0.11
D.None of these
Solution
Given, P(A) = 0.25, P(B) = 0.50, P(A ∩ B) = 0.14
∴ P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
⇒ P(A ∪ B) = 0.25 + 0.50 - 0.14
P(A ∪ B) = 0.61
∴ P(A ∪ B) = 1 - P(A ∩ B) = 1 - 0.61 = 0.39
∴ P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
⇒ P(A ∪ B) = 0.25 + 0.50 - 0.14
P(A ∪ B) = 0.61
∴ P(A ∪ B) = 1 - P(A ∩ B) = 1 - 0.61 = 0.39
Create a free account to view solution
View Solution FreeMore Probability Questions
A bag contains 4 black and 3 white balls. Two- two balls are drawn two times. If balls are not replace once it is drawn ...Three letters are written to three different persons and their addresses are written of three envelopes. The probability...The chance of winning a test match by India against West indies is 1/2. A series of 5 test matches is played and the res...A die is weighted so that the probability of different faces to turn up is as givenIf P(A/B) = p1 and P(B/C) = p2 and P(...15 coupons are numbered 1, 2, 3, ....... 15 respectively. 7 coupons are selected at random one at a time with replacemen...