Question

in a recent year in the united state, 83, 600 passengers car rolled over when they crashed, and 5,127,400 passengers cars did not roll over when they crashed. based on this find the probability that the randomly selected passengers car crash results in a rollover. explain how you got this. based on your answer, is it unlikely for a car to roll over in a crash?​

Answer 1

0.01 probability of a car rolling over in a crash.

It is very unlikely for a car to roll over in a crash.

Explanation:

Let E be any event.

Then, the probability of happening of an event E =
`\frac{\textrm{Number of favorable outcomes}}{\textrm{Total Outcomes}}`

Now here,

Let E1 = The event where cars rolled when they crashed

E2 = The event where cars did not roll when they crashed

The number of cars that did roll = 83, 600

The number of cars that did not roll = 5,127,400

So, total number of cars taken into account for any event

= 83, 600 + 5,127,400 = 5,211,000

So, P(E1) = 83, 600 / 5,211,000 = 0.01

Hence there is 0.01 probability of a car rolling over in a crash.

and P(E2) = 5,127,400 / 5,211,000 = 0.98

Since P(E2) is way way more than that of P(E1)

Hence, it is very unlikely for a car to roll over in a crash.