Question

**Historical data show that a well-trained sniper can hit
a target located at ½ mile 4 out of 5 times.**

*What is the probability that he is going to hit a target on his second shot?*

- 0.9 b) 0.8 c) 0.7 d) 0.16

*What is the probability that it takes to him 3 trials to hit the target twice?*

- 0.032 b) 0.36 c) 0.64 d) 0.288

Answer #1

a) Probability that he is going to hit a target on his second shot is computed here as:

= 0.8 as he may or may not hit the target on the first shot. We are not given here whether he hits it first time on the second shot.

**Therefore b) 0.8 is the required probability
here.**

b) Probability that it takes to him 3 trials to hit the target twice is computed here as:

= 1 - Probability that he hit it on the first two trials

= 1 - 0.8^{2} = 1 - 0.64 = 0.36

**Therefore 0.36 is the required probability
here.**

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