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 .

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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%

C) 72.9%

Step-by-step 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%

use this formula:

p(a\b) = p(a and b)/p(b).

take it from here.

step-by-step explanation: