To find the probability that a boy will win, we need to calculate the total number of boys and girls and then find the ratio of the number of boys to the total number of participants.
There are 4 boys and 5 girls, giving us a total of:
\[ 4 \text{ boys} + 5 \text{ girls} = 9 \text{ total participants} \]
The probability \( P \) that a boy will win is given by:
\[ P(\text{boy wins}) = \frac{\text{Number of boys}}{\text{Total number of participants}} = \frac{4}{9} \]
Next, we can convert this fraction into a percentage:
\[ \frac{4}{9} \approx 0.4444 \text{ or } 44.44% \]
In the given options:
- 49
- 56%
- 44% (this is correct)
- 0.80
- 59
The correct response based on our calculation is:
- 44%
So, the probability that a boy will win is 44%.