Question

Drawing free time at Kate's preschool. Children can choose their own activity that. charts show how many children it choose with each activity yesterday. Play a math game is two children Drawing is three children play. dress up is two children Write a story is one children and play at the sand table is one. children. What is the probability that a randomly selected childhood chose? to draw yesterday? Write your answer as a fraction or a whole number.

Answer 1

To determine the probability that a randomly selected child chose to draw yesterday, we need to first find the total number of children and how many of those children chose to draw.

From your description:

- Children who chose to play a math game: 2
- Children who chose to draw: 3
- Children who chose to play dress up: 2
- Children who chose to write a story: 1
- Children who chose to play at the sand table: 1

Now, let's calculate the total number of children:

\[
\text{Total children} = 2 + 3 + 2 + 1 + 1 = 9
\]

Now, we know that 3 children chose to draw.

The probability \( P \) of a child being chosen who decided to draw can be calculated using the formula:

\[
P(\text{drawing}) = \frac{\text{Number of children who drew}}{\text{Total number of children}}
\]

Substituting in our numbers:

\[
P(\text{drawing}) = \frac{3}{9} = \frac{1}{3}
\]

Thus, the probability that a randomly selected child chose to draw yesterday is \( \frac{1}{3} \).