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In a class of boys and girls, there are 50 learners, 15 of which are girls. If a learner is picked at random. Find the probability that the learner is either a boy or a prefect, leaving your answer in the simplest form.
Mathematics
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Step-by-step solution
6 stepsIdentify the given information.
Total number of learners = 50
Number of girls = 27
Number of prefects = 15
Number of girls who are prefects = 7Calculate the number of boys.
Number of boys = Total learners - Number of girls
So, there are 23 boys.
Calculate the number of boys who are prefects.
Number of boys who are prefects = Total prefects - Number of girls who are prefects
So, there are 8 boys who are prefects.
Determine the number of learners who are either a boy or a prefect.
We use the principle of inclusion-exclusion:
There are 30 learners who are either a boy or a prefect.
Calculate the probability.
Probability =
Simplify the probability to its lowest form.
The probability that the learner is either a boy or a prefect is .
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