Question

just sip awhile cafe has 14 pastries for sale, including 4 apple fritters. what is the probability that a randomly selected pastry will be a apple fritter? write your answer as a fraction or whole number. p(apple fritter) =

Explanation:

Step1: Recall the probability formula

The probability of an event is the number of favorable outcomes divided by the total number of possible outcomes. For this problem, the number of favorable outcomes (apple fritters) is \( 4 \), and the total number of possible outcomes (pastries) is \( 14 \). So the formula is \( P(\text{apple fritter})=\frac{\text{Number of apple fritters}}{\text{Total number of pastries}} \).

Step2: Substitute the values

Substitute the number of apple fritters (\( 4 \)) and the total number of pastries (\( 14 \)) into the formula: \( P(\text{apple fritter}) = \frac{4}{14} \). Then simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is \( 2 \). So \( \frac{4\div2}{14\div2}=\frac{2}{7} \).

Answer:

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