There are currently 18 pit bulls at the pound. Of the 18 pit bulls, four have attacked another dog in the last year. Joe, a member of the staff, randomly selects six of the pit bulls for his group. What is the probability that no more than two of the pit bulls in Joe's group attacked another dog last year?
A) 0.0833
B) 0.3235
C) 0.5931
D) 0.9167

Question

Quizplus · Accepted Answer

The probability that no more than two of the pit bulls in Joe's group attacked another dog last year can be calculated using combinations. The total number of ways to select 6 pit bulls out of 18 is C(18,6). The number of ways to select pit bulls such that no more than two have attacked another dog can be found by considering the cases where exactly 0, 1, or 2 of the selected pit bulls have attacked another dog. This involves calculating the combinations for each case and summing them up, then dividing by the total number of ways to select 6 pit bulls to find the probability. The calculation shows that the probability is highest for these conditions, leading to the correct answer being D) 0.9167.

There Are Currently 18 Pit Bulls at the Pound