Question

A track coach made a two way table to show his runners gender and running category. Male: Sprints- 16 Middle distance- 11 Long distance- 9 Female: Sprints- 12 Middle distance- 14 Long distance- 5 To the nearest hundredth, what is the probability that a randomly chosen long distance runner is male?

Answer 1

Answer: Our required probability is 0.134.

Step-by-step explanation:

Since we have given that

                    Sprints           Middle distance        Long distance      Total

Male                 16                          11                               9                   36

Female              12                          14                              5                   31

Total                 28                         25                             14                   67

So, the probability that a random chosen long distance runner is male is given by

$\dfrac{\text{Number of male for long distance}}{\text{Total outcomes}}\\\\=\dfrac{9}{67}\\\\=0.134$

Hence, our required probability is 0.134.

Answer 2

There are 9 long distance male runners and 5 long distance female runners. This makes a total of 9+5 = 14 long distance runners.

Out of this total of 14 long distance runners, there are 9 males. So the probability as a fraction is 9/14

If you need the answer in decimal form, then use a calculator to get 9/14 = 0.642857 which is approximate.