GATE ECE 2015 Set 2 | Question: 52

Question

Let $X\in \{0,1\}$ and $Y\in \{0,1\}$ be two independent binary random variables. If $P(X=0)=p$ and $P(Y=0)=q,$ then $P(X+Y\geq 1)$ is equal to

• A. $pq+(1-p)(1-q)$
• B. $pq$
• C. $p(1-q)$
• D. $1-pq$