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

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.

Answer 2

Answer: Our required probability is 0.134.

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

`\frac{\text{Number of male for long distance}}{\text{Total outcomes}}\\\\=(9)/(67)\\\\=0.134`

Hence, our required probability is 0.134.