Solveeit Logo

Question

Question: The probability of occurrence of two events are 0.21 and 0.49 respectively. The probability that bo...

The probability of occurrence of two events are 0.21 and

0.49 respectively. The probability that both occurs

simultaneously is 0.16. Then the probability that none of the two occurrence, is

A

0.30

B

0.46

C

0.14

D

None of these

Answer

0.46

Explanation

Solution

P(A\overline { \mathrm { A } }Ē ) = 1 – P (A Č B) = 1 – (P (1) + P(2) – P(A Ē B))

= 1 – [0.21 + 0.49 – 0.16]

= 1 – 0.54 = 0.46