## The probability that $$B$$ can shoot a target two out of two times is $$0.25.$$ What is the probability that the target

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### The probability that $$B$$ can shoot a target two out of two times is $$0.25.$$ What is the probability that the target

by AAPL » Thu Feb 08, 2024 5:26 pm

00:00

A

B

C

D

E

## Global Stats

The probability that $$B$$ can shoot a target two out of two times is $$0.25.$$ What is the probability that the target will be missed by $$B$$ immediately after such two shots?

A. $$0.25$$
B. $$0.5$$
C. $$0.75$$
D. $$0.4$$
E. $$0.8$$

OA B

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### Re: The probability that $$B$$ can shoot a target two out of two times is $$0.25.$$ What is the probability that the tar

by mapadvantageprep » Fri Feb 16, 2024 9:54 am
If the probability that B can shoot a target two out of two times is 0.25, then the probability of hitting the target in a single shot (let's denote it as P) is the square root of 0.25, because B must hit the target in both shots:
P = $$\sqrt{0.25}$$ = 0.5

Now, we know that the probability of hitting the target in a single shot is 0.5.

The probability that the target will be missed by B immediately after such two shots is the complement of hitting the target, which is 1−P. Therefore, the probability of missing the target is:
1−0.5=0.5

So, the probability that the target will be missed by B immediately after such two shots is 0.5.

The correct answer is B

Bernard Baah
MS '05, Stanford
GMAT and GRE Instructor