Question

morning donuts has a variety of donuts for sale.
maple donuts 14
cake donuts 15
cream - filled donuts 9
chocolate frosted donuts 11
what is the probability that a randomly selected donut will be a maple donut?
write your answer as a fraction or whole number.
p(maple donut) =

Explanation:

Step1: Calculate total number of donuts

To find the total number of donuts, we add the number of each type of donut. So we sum 14 (maple), 15 (cake), 9 (cream - filled), and 11 (chocolate frosted).
The formula for the total number of donuts \(N\) is \(N = 14+15 + 9+11\).
Calculating the sum: \(14 + 15=29\), \(29+9 = 38\), \(38+11=49\). So the total number of donuts is 49.

Step2: Calculate the probability of selecting a maple donut

The probability \(P\) of an event is given by the formula \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\).
For the event of selecting a maple donut, the number of favorable outcomes (number of maple donuts) is 14, and the total number of outcomes (total number of donuts) is 49.
So \(P(\text{maple donut})=\frac{14}{49}\). We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 7. \(\frac{14\div7}{49\div7}=\frac{2}{7}\).

Answer:

\(\frac{2}{7}\)