Question

A survey of customers at a candy shop asked if they like candy with or without chocolate, and with or without coconut. The result was the following table:

coconut no coconut
chocolate 0,4 0,225
no chocolate 0,325 0,05

Based on this information, what is the probability that a randomly selected customer likes candy with coconut?
a. 0.625
b. 0.725
c. 0.55172
d. 0.4
e. 0.275

Answer 1

The probability that a randomly selected customer likes candy with coconut is 0.725, obtained by adding the probabilities for candy with chocolate and coconut (0.4) and candy without chocolate but with coconut (0.325).

Step-by-step explanation:

To find the probability that a randomly selected customer likes candy with coconut, based on the information provided in the table, we add up the probabilities of the customer liking candy with coconut regardless of whether it contains chocolate or not.

The probabilities given in the table for liking candy with coconut are:

• Candy with chocolate and coconut: 0.4
• Candy without chocolate but with coconut: 0.325

We calculate the combined probability as follows:

Probability with coconut = 0.4 + 0.325 = 0.725

Therefore, the probability that a randomly selected customer likes candy with coconut is 0.725, which corresponds to option (b).