Question

type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar.
there are 12 boys and 12 girls participating in a quiz competition. find the probability that a boy will win this competition and write it as a fraction.
the probability of a boy winning the quiz competition is .

Explanation:

Step1: Calculate total number of participants

Total participants = Number of boys + Number of girls = \(12 + 12=24\)

Step2: Use probability formula

Probability \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Number of favorable outcomes (boys winning) is \(12\). So \(P = \frac{12}{24}\)

Step3: Simplify the fraction

\(\frac{12\div12}{24\div12}=\frac{1}{2}\)

Answer:

\(\frac{1}{2}\)