Question

A group of people were asked if they had run a red light in the last year. 131 responded "yes", and 452 responded "no". Find the probability that if a person is chosen at random, they have run a red light in the last year. Give your answer as a fraction or decimal accurate to at least 3 decimal places Submit QuestionQuestion 9

Answer 1

131/583

Explanation:

Probability is the measure of likelihood or chance that an event will occur.

`\text{Probability} = \frac{\text{Possible outcome of event}}{\text{Total outcome}}`

Total number of people asked if they had run a red light = number of people that responded 'yes' + number of people that responded 'no'

`\text{Total outcome} = 131+452`

`\text{Total outcome} = 583`

`\text{Possible outcome} = \ \text{number of people that responded yes} = 131`

Probability that if a person is chosen at chosen at random, they have run a red light in the last year will be 131/583.

Answer 2

.224 or 224/1000 or 28/125

Explanation:

The probability of a person chosen at random having run a red light in the last year is:

P(run a red light) = Number of people who said "yes" / Total number of people surveyed

P(run a red light) = 131 / (131 + 452)

P(run a red light) ≈ 0.224 (rounded to 3 decimal places)

So the probability is approximately 0.224 or 224/1000 or 28/125.