Question 286506
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1 - P(he misses all four times)

Probability of a hit in one shot = {{{1/4}}}
Probability of a miss in one shot = {{{1-1/4=3/4}}}

1 - P(misses 1st time AND misses 2nd time AND misses 3rd time AND misses 4th time)

"AND" means "MULTIPLY":

1 - P(misses 1st time)*P(misses 2nd time)*P(misses 3rd time)*P(misses 4th time)

{{{1-(3/4)(3/4)(3/4)(3/4)=1-(3/4)^4=1-81/256=256/256-81/256=175/256}}}

or about 68% of the time.

Edwin</pre>