40.0k views
3 votes
In a certain study, the chances of encountering a car crash on the road are stated as ​"5 in 17​." Express the indicated degree of likelihood as a probability value between 0 and 1 inclusive.

User Kjohri
by
7.3k points

1 Answer

4 votes

Answer:

Explanation:

To convert a degree of likelihood to a probability value, we use the formula:

probability = number of favorable outcomes / total number of possible outcomes

In this case, the chances of encountering a car crash on the road are stated as "5 in 17", which means there are 5 favorable outcomes (encountering a car crash) out of 17 possible outcomes (driving on the road).

So, the probability of encountering a car crash can be calculated as:

probability = 5/17

This fraction can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 1 in this case. Therefore, the probability of encountering a car crash on the road is:

probability = 5/17 ≈ 0.2941

Since the probability value is between 0 and 1 inclusive, we can express the indicated degree of likelihood as a probability value of approximately 0.2941.

User Younggeun
by
7.5k points