For events $A$ and $B$, it is given that $\mathrm{P}(A)=\frac{2}{3}$ and $\mathrm{P}(B)=\frac{1}{2}$

Question

For events $A$ and $B$, it is given that $\mathrm{P}(A)=\frac{2}{3}$ and $\mathrm{P}(B)=\frac{1}{2}$. State an inequality satisfied by $\mathrm{P}(A\cap B)$. [2] It is given further that $A$ and $B$ are independent. Find $\mathrm{P}(A\cap B)$, [1] $\mathrm{P}(A'\ \cup B)$. [2]

Accepted Answer

(i) 1/6 <= P(A intersection B) <= 1/2; (ii) 1/3; (iii) 2/3.

2013 VJC P2 Q5

2013 VJC P2 Q5

Video Solution:

Solution:

Solution locked