Whilst shopping, the probability that Caroline buys fruit is 0.4. The probability that Caroline independently buys a CD is 0.2. Work out the probability that she buys fruit, a CD or both.

Question

Mathematics

Dante Norton

22 July, 10:02

Whilst shopping, the probability that Caroline buys fruit is 0.4. The probability that Caroline independently buys a CD is 0.2. Work out the probability that she buys fruit, a CD or both.

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Answers (1)

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Lawson Monroe · Answer 1

probability that Caroline buy both CD and fruit = 0.52

Step-by-step explanation:

We have given that the probability of Caroline buys a fruit P = 0.4

So probability of Caroline does not buy the fruit = 1 - 0.4 = 0.6

Probability Caroline buys a CD P = 0.2

So probability of Caroline does not buy the CD = 1 - 0.2 = 0.8

So probability that Caroline does not buy either buy CD or fruit = 0.8*0.6=0.48

So probability that Caroline buy both CD and fruit = 1-0.48 = 0.52