Question:

Peter Elzinga is a Dutch competitive archer who was ranked

Last updated: 7/20/2022

Peter Elzinga is a Dutch competitive archer who was ranked

Peter Elzinga is a Dutch competitive archer who was ranked number 1 in the world in 2004. The probability that he makes a bullseye (i.e. a 10 point shot) on any given shot is 0.95. Assuming that the probability of making a bullseye on a given arrow is independent of results on other arrows, what is the probability that Peter Elzinga will make two bullseyes in a row followed by missing the bullseye on the third shot (i.e., the probability of making a bullseye on the first and second shots and something other than a bullseye on the third shot)? Note: Round to the nearest thousandth if necessary.