while mackenzie was sitting on a bench in the mall, 4 men with a beard and 2 men without a beard walked by…

while mackenzie was sitting on a bench in the mall, 4 men with a beard and 2 men without a beard walked by. what is the experimental probability that the next man to walk by will have a beard?\n\nwrite your answer as a fraction or whole number.\n\n$p(\\text{beard}) =$

while mackenzie was sitting on a bench in the mall, 4 men with a beard and 2 men without a beard walked by. what is the experimental probability that the next man to walk by will have a beard?\n\nwrite your answer as a fraction or whole number.\n\n$p(\\text{beard}) =$

Answer

Explanation:

Step1: Identify the number of favorable outcomes

The number of men with a beard is 4.

Step2: Calculate the total number of trials

Sum the men with and without beards. $$4 + 2 = 6$$

Step3: Determine the experimental probability

Divide the favorable outcomes by the total trials. $$P(\text{beard}) = \frac{4}{6}$$

Step4: Simplify the fraction

Divide the numerator and denominator by their greatest common divisor, 2. $$\frac{4 \div 2}{6 \div 2} = \frac{2}{3}$$

Answer:

P(beard) = \frac{2}{3}