Question

50 people took a driving test. 18 of the 50 people are women. One quarter of the men failed the driving test. The number of men who passed the driving test was 8 more than the number of women who passed the test. A person is chosen at random. What is the probability that they passed the driving test? Write your answer as a decimal.

Answer 1

Answer: The probability is 0.8

Explanation:

Total who took the test = 50

Women who took the test = 18

50 - 18 = 32 is the number of men

32/4 = 8 men who did not pass

Men who passed = 32 - 8 =24

To find the number of women who passed : 24 - 8 = 16

Total of people who passed = 24 + 16 = 40

Number who passed out of total people = 40/50 Converted ro decimal: 0.8

So the probability of randomly selecting a person who passed is 0.8

Answer 2

Explanation:

No. of people who took the test = 50

No. of women who took the test = 18

Therefore, no. of men who took the test = 50 - 18 = 32

No. of men who did not pass the test = 1/4 × 32 = 8

No. of men who passed = 32 - 8 =24

The no. of men who passed is 8 more than the no. of women who passed Therefore, the no. of women who passed = 24 - 8 = 16

No. of women who failed = 18 - 16 = 2

Total no. of people who passed = 24 + 16 = 40

Total no. of people that didnt pass = 2 + 8 = 10

Therefore probability that they passed = 50/40 = 1.25

Hope this help : ) . Have a nice day !