Question

The probability of occurrence of event A is $\frac{2}{5}$ and the probability of occurrence of event B is $\frac{4}{7}$. If the probability of occurrence of A or B is $\frac{2}{3}$. What is the probability of occurrence of A and B?

• A. 17/105
• B. 16/105
• C. 1/35
• D. 6/35

Answer 1

The correct option is A 17/105

P(A U B)= P(A)+ P(B)- P(A intersection B)

$\frac{2}{3}=\left(\frac{2}{5}\right)+\left(\frac{4}{7}\right)-x$

$x=\frac{17}{105}$