Question

a food company conducted a survey and found that 4 out of 20 people had french toast for breakfast yesterday. what is the probability that a randomly selected person had french toast for breakfast? write your answer as a fraction or whole number. p(french toast) =

Explanation:

Step1: Recall probability formula

Probability \( P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \).
Here, number of favorable outcomes (people who had french toast) \( = 4 \), total number of outcomes \( = 20 \). So \( P=\frac{4}{20} \).

Step2: Simplify the fraction

Simplify \( \frac{4}{20} \) by dividing numerator and denominator by their greatest - common divisor. The GCD of 4 and 20 is 4. \( \frac{4\div4}{20\div4}=\frac{1}{5} \).

Answer:

\(\frac{1}{5}\)