Question

A 2017 study done of one large taxi company in Singapore found that in 2012, the company had about 4,175 yellow taxis and 12,525 blue taxis. In one month, 270 of the yellow taxis were involved in accidents and 859 of the blue taxis were involved in accidents. (a) What is the probability that a randomly selected cab was involved in an accident

Answer 1

The probability that a randomly selected taxi was involved in an accident is found by dividing the total number of taxis involved in accidents (1,129) by the total number of taxis (16,700), which equals approximately 0.0676 or 6.76%.

Step-by-step explanation:

The question asks us to calculate the probability that a randomly selected taxi was involved in an accident based on data from a Singapore taxi company.

This involves two steps: first determining the total number of taxis and then calculating the number of taxis involved in accidents.

To find the total number of taxis, we simply add the number of yellow taxis (4,175) and blue taxis (12,525) together:

4,175 + 12,525

= 16,700 taxis.

Then, we find the total number of taxis involved in accidents by adding the accidents involving yellow taxis (270) and blue taxis (859):

270 + 859

= 1,129 taxis involved in accidents.

Now, the probability that a randomly selected taxi was involved in an accident is the number of taxis involved in accidents divided by the total number of taxis.

Using the figures calculated, the probability is 1,129 / 16,700 = approximately 0.0676 or 6.76%.