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 \( \frac{1}{3} \).