Question

probability of randomly selecting a cookie. there are 10 cookies in a jar. what is the probability of selecting a frosted sugar cookie? (in simplest form)

Explanation:

Step1: Identify total number of cookies

There are 10 cookies in total.

Step2: Identify number of frosted sugar cookies

From the bar - graph, the number of frosted sugar cookies is 5.

Step3: Calculate probability

The probability $P$ of an event is given by $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, the number of favorable outcomes (selecting a frosted sugar cookie) is 5 and the total number of outcomes (selecting any cookie) is 10. So $P = \frac{5}{10}$.

Step4: Simplify the fraction

$\frac{5}{10}=\frac{5\div5}{10\div5}=\frac{1}{2}$.

Answer:

$\frac{1}{2}$