A recent poll at Smithfield high school shows that 65% of seniors say that they have copied another student's homework and 25% of them have left school without permission from the office. What I'd the probability that a random student has copied someone's homework and has not left school without permission from the office?

Question

Jensen Moore

Mathematics

16 November, 16:18

A recent poll at Smithfield high school shows that 65% of seniors say that they have copied another student's homework and 25% of them have left school without permission from the office. What I'd the probability that a random student has copied someone's homework and has not left school without permission from the office?

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Mason Stephenson · Answer 1

The probability that a random student has copied someone's homework is given to be 65%.

If 25% have left school without permission from the office, then the probability that a student HAS NOT left without permission is 100 - 25 = 75%.

Then since the events are independent, we multiply both probabilities to find the chance that a student fits both:

(65%) (75%) = (0.65) (0.75) = 0.4875 = 48.75%