Question

the owners of a coffee shop are gauging interest in the new baker items on their menu: bagel, muffin, and croissant. they recorded the purchase records for 450 customers who ordered either coffee or tea, as shown in the table.

	purchased bagel	purchased muffin	purchased croissant	no bakery item purchased	total
tea		26		1	45
total	87		66	81	450

what is the probability that a randomly selected customer ordered a muffin?
o 0.47
o 0.48
o 0.58
o 0.88

Explanation:

Step1: Find total number of muffin - purchases

We need to find the total number of customers who purchased a muffin. From the table, the number of customers who purchased a muffin with coffee and the number of customers who purchased a muffin with tea need to be summed. But the number of customers who purchased a muffin with coffee is not given directly. We know the total number of customers is 450, and we can find the number of muffin - purchases by subtracting the sum of other bakery item purchases and non - bakery item purchases from the total number of customers. First, we find the sum of bagel and croissant purchases: \(87 + 66=153\), and the number of non - bakery item purchases is 81. So the number of muffin purchases is \(450-(153 + 81)=216\).

Step2: Calculate the probability

The probability \(P\) of an event is given by the formula \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, the total number of customers is \(n = 450\), and the number of customers who ordered a muffin is \(m = 216\). So \(P=\frac{216}{450}=0.48\).

Answer:

0.48