Question

11.2: probability
score: 5/16 answered: 3/10
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question 2
a group of people were asked if they had run a red light in the last year. 353 responded yes, and 434 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
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Explanation:

Step1: Calculate the total number of people

The total number of people is the sum of those who said "yes" and those who said "no". So, $353 + 434=787$.

Step2: Use the probability formula

The probability $P$ of an event is given by the number of favorable outcomes divided by the total number of outcomes. Here, the number of favorable outcomes (people who ran a red - light) is $353$, and the total number of outcomes (total number of people) is $787$. So, $P=\frac{353}{787}$.

Step3: Calculate the decimal value

Dividing $353$ by $787$, $353\div787\approx0.449$.

Answer:

$\frac{353}{787}\approx0.449$