Whilst shopping, the probability that Caroline buys fruit is 0.4. The probability that Caroline buys a CD is 0.6. Buying fruit and buying a CD are independent of each other. Work out the probability that she only buys fruit, only buys a CD, or buys both.

Question

Mathematics

Christine

5 May, 15:53

Whilst shopping, the probability that Caroline buys fruit is 0.4. The probability that Caroline buys a CD is 0.6. Buying fruit and buying a CD are independent of each other. Work out the probability that she only buys fruit, only buys a CD, or buys both.

+5

Answers (1)

Know the Answer?

Ellie Bullock · Answer 1

Answer: buys fruit = 40%

buys CD = 60%

buys both = 24%

Step-by-step explanation:

The probability of buying only fruit is given as 0.4.

Move the decimal 2 places to the right to convert it into a percent.

40%

The probability of buying only a CD is given as 0.6.

Move the decimal 2 places to the right to convert it into a percent.

60%

The probability of buying both is: fruit AND CD.

AND means "multiply". 0.4 x 0.6 = 0.24

Move the decimal 2 places to the right to convert it into a percent.

24%