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

tugmiddelc0 2021-11-13 Answered
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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Expert Answer

Befoodly
Answered 2021-11-14 Author has 17 answers

Step 1
The probability of winning the Powerball lottery is 0.1. That is, P(Wng)=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(=10.6). That is, P(Not abducted)=0.4. The two events are independent.
Step 2
The probability of winning Powerball but not being abducted is,
P(WinningNot abducted)=P(Winning)P(Not abducted)
=0.1×0.4
=0.04
Thus, the probability of winning Powerball but not being abducted is 0.04.
Correct Answer: Option (C) 0.04.

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