According to the manufacturer, about 14% of candy-coated milk chocolates in a package of Charlie's Chocolates are yellow. What is the probability that the first yellow candy chosen from the bag will be, at LEAST, the fourth candy chosen overall?

Question

Zack Silva

Mathematics

11 January, 17:24

According to the manufacturer, about 14% of candy-coated milk chocolates in a package of Charlie's Chocolates are yellow. What is the probability that the first yellow candy chosen from the bag will be, at LEAST, the fourth candy chosen overall?

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Answers (1)

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Jaylynn Guzman · Answer 1

0.089

Step-by-step explanation:

The probability of the candy chosen is yellow is:

14% or 0.14

The probability of the candy chosen not yellow is:

100%-14% = 86% or 0.86

The number of trials is four, three of them being non-yellow and 1 being yellow.

The probability is the combination of four events and is calculated as:

P = (0.86) ^3*0.14 ≈0.089

So the answer is 0.089