deion was the lucky journalist assigned to cover the best beard competition. he recorded the contestants…

deion was the lucky journalist assigned to cover the best beard competition. he recorded the contestants beard colors in his notepad. deion also noted if the contestants were signed up for the mustache competition later in the day. what is the probability that a randomly selected contestant is only in the beard competition and has a light beard? simplify any fractions.

deion was the lucky journalist assigned to cover the best beard competition. he recorded the contestants beard colors in his notepad. deion also noted if the contestants were signed up for the mustache competition later in the day. what is the probability that a randomly selected contestant is only in the beard competition and has a light beard? simplify any fractions.

Answer

Explanation:

Step1: Calculate total number of contestants

We sum up all the values in the table. $4 + 3+3 + 2=12$.

Step2: Identify number of favorable - cases

The number of contestants who are only in the beard competition and have a light beard is 3.

Step3: Calculate probability

The probability $P$ is the number of favorable cases divided by the total number of cases. So $P=\frac{3}{12}=\frac{1}{4}$.

Answer:

$\frac{1}{4}$