# SOLUTION: An expert shot hits the target 90% of the time. what is the probability that he will miss the target for the first time on the 10th shot?

Algebra ->  Algebra  -> Probability-and-statistics -> SOLUTION: An expert shot hits the target 90% of the time. what is the probability that he will miss the target for the first time on the 10th shot?      Log On

 Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Algebra: Probability and statistics Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Probability-and-statistics Question 286364: An expert shot hits the target 90% of the time. what is the probability that he will miss the target for the first time on the 10th shot?Answer by Theo(3504)   (Show Source): You can put this solution on YOUR website!The probability that he will hit the target on each shot is 9/10 = 90%. This means that the probability that he will miss the target on each shot is 1/10 = 10%. The probability that he gets 9 his in a row and 1 miss on the 10th shot would be: (9/10) * (9/10) * (9/10) * (9/10) * (9/10) * (9/10) * (9/10) * (9/10) * (9/10) * (1/10) which is equivalent to: (9/10)^9*(1/10)^1 = .038742049 = 3.87% rounded to the nearest hundredth of a percent.