Question

A local coffee house surveyed 317 customers regarding their preference of chocolate chip or cranberry walnut scones . 150 customers prefer the Cranberry Walnut Scones . 81 customers who responded were males and prefer the Chocolate Chip Scones . 172 female customers responded . Find the probability that a customer chosen at random will be a male or prefer the Chocolate Chip Scones .

Answer 1

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Correct Question

A local coffee house surveyed 317 customers regarding their preference of chocolate chip or cranberry walnut scones . 150 customers prefer the Cranberry Walnut Scones . 81 customers who responded were males and prefer the Chocolate Chip Scones . 172 female customers responded . Find the probability that a customer chosen at random will be a male or prefer the Chocolate Chip Scones .

A) 25.6%

B) 24.1%

C) 72.9%

D) 98.4%

Answer:

C) 72.9%

Explanation:

From above question, we were given the following parameters.

Total number of customers = 317 customers

150 customers prefer the Cranberry Walnut Scones .

Since the number of Customers who prefer Cranberry Walnut Scones is given, the number of Customers who prefer Chocolate Chip Scones is calculated as

317 - 150 = 167

The number of Customers who prefer

81 customers who responded were males and prefer the Chocolate Chip Scones .

172 female customers responded

Since the number of female customers who responded were given, the number of male customers who responded is calculated as

317 -172 = 145

The probability that a customer chosen at random will be a male or prefer the Chocolate Chip Scones will be calculated as

The number of customers who prefer Chocolate chip scones + The number of males who responded - The number of customers who are males and prefer Chocolate chip scones

167 + 145 -81

= 312 - 81

= 231

= 231/317 × 100

= 72.87%

Approximately = 72.9%

Answer 2

72.8%

Explanation:

In this case they give us the amount of customers prefer the Cranberry Walnut Scones, therefore, the rest of the total prefer chocolate chip. That is to say:

317 - 150 = 167

Similarly, to find the number of men, it would be the total minus the number of women:

317 - 172 = 145

Now we know that 81 people prefer chocolate chip and they are men, so as not to count these people twice, we subtract it in the sum of the previous values:

167 + 145 - 81 = 231

Therefore the probability is:

231/317 = 0.728

In other words, the probability that he is a man and prefers chocolate chips is 72.8%