# Suppose the probability of winning the Powerball lottery is 0.1, while

Suppose the probability of winning the Powerball lottery is 0.1, while the probability of being abducted by aliens is 0.6. If these two events are independent, what is the probability of winning Powerball but not being abducted?
A) 0.06
B) 0.54
C) 0.04
D) 0.6
E) 0
F) 0.1
G) 1
H) 0.36
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Step 1
The probability of winning the Powerball lottery is 0.1. That is, $P\left(W\in n\in g\right)=0.1$, and the probability of being abducted by aliens is 0.6, then the probability of not being abducted by aliens is $0.4\left(=1-0.6\right)$. That is, . The two events are independent.
Step 2
The probability of winning Powerball but not being abducted is,

$=0.1×0.4$
$=0.04$
Thus, the probability of winning Powerball but not being abducted is 0.04.