Question

X and Y are independent events. If the probability event X will occur is $0.2$ and the probability event Y will occur is $0.9$, calculate the probability that both X and Y will occur.

• A. $18$%
• B. $20$%
• C. $50$%
• D. $72$%
• E. $90$%

Answer 1

Answer: (A)

$18$%

Given that the Probability that $X$ will occur is $0.2$ and Probability that $Y$ will occur is $0.9$

$\Rightarrow$ $P\left(X\right)=0.2$ and $P\left(Y\right)=0.9$

Given that $X$ and $Y$ are independent
So Probability that both $X$ and $Y$ occurs is $P\left(X\right)\times P\left(Y\right)=0.2\times 0.9=0.18$
The percentage is $0.18\times 100=18$ percent