Question

Question 2: 14 ptsOut of the 10,000 people who took their driving test for the first time, it was found that 6500 passed the test onthe first attempt. Estimate the probability that a randomly selected person would pass the driving test on thefirst attempt.A0 0.5, or 50%O 0.65, or 65%O 0.8. or 80%• 0.35, or 35%

Answer 1

To calculate the probability of an event we would use the probability formula as follows;

$P\lbrack E\rbrack=\frac{\text{Number of required outcomes}}{Number\text{ of possible outcomes}}$

From the experiment conducted, 10,000 people took the driving test and 6500 passed the test on the first attempt. Therefore, to find the probability that a person randomly selected would pass the driving test on first attempt;

$\begin{gathered} P\lbrack\text{first attempt\rbrack=}\frac{Number\text{ of required outcomes}}{Number\text{ of all possible outcomes}} \\ P\lbrack\text{first attempt\rbrack=}\frac{6500}{10000} \\ P\lbrack\text{first attempt\rbrack=}\frac{65}{100} \\ P\lbrack\text{first attempt\rbrack=0.65 or 65\%} \end{gathered}$

ANSWER:

The second option is the correct answer.