A and B are two independent events. The probability that A and B occur is 1/6 and the probability that neither of them occurs is 1/3. Find the probability of occurrence of two events.

Question

Philoid · Accepted Answer

P(A∩B)=

6P(A)²–5P(A)+1=0

6P(A)²–3P(A)–2P(A)+1=0

[2P(A)–1][3P(A)–1]=0

2P(A)–1=0

2P(A)=1

3P(A)–1=0

3P(A)=1