Question

During a game, the pittsburgh steelers converted 6 of 10 fourths downs into first downs. With only minutes left in the game, it is fourth down again and they must make a first down to continue their drive. What is the probability that they will make the first down?

Answer 1

`(3)/(5)`

Explanation:

Given that:

Total Number of fourth downs = 10

Number of fourth downs converted to first downs = 6

Formula for probability of an event E can be observed as:

`P(E) = \frac{\text{Number of favorable cases}}{\text {Total number of cases}}`

Here, Let E be the event of getting a fourth down converted to first down.

So, Number of favorable cases = 6

Total Number of cases = 10

Therefore, the required probability is:

`P(E) = (6)/(10) = (3)/(5)`