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Sophie [7]
3 years ago
7

PLEASE HELP ME with an explanation. Thanks in advance

Mathematics
1 answer:
REY [17]3 years ago
8 0

Answer:

3) 0.30

The probability a randomly selected<em> student plays a sport</em> given they work part time = 0.30

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

Given  'A' plays a sport

          B work part time

Given P(A) = 0.48

         P(B)  = 0.40

        P(A∩B) =0.12

       P(A∪B)¹ =0.24

<u><em>Step(ii)</em></u>:-

By using conditional probability

P(B/A) = \frac{P(BnA}{P(A)}

and similarly P(A/B) = \frac{P(AnB}{P(B)}

The probability a randomly selected<em> student plays a sport</em> given they work part time

Now P(A/B) = \frac{P(AnB}{P(B)}

       P(A/B) = \frac{0.12}{0.40}= 0.30

<u>Final answer</u>:-

The probability a randomly selected<em> student plays a sport</em> given they work part time = 0.30

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Working attached below:

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