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

Question

17-05-2024
Mathematics

Answered

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

Answer :

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GinnyAnswer GinnyAnswer · Answer 1 · 2024-05-17T10:08:54-04:00

To find the probability that a boy will win the competition, follow these steps:

1. Identify the number of boys participating in the competition:
- There are 12 boys.

2. Identify the number of girls participating in the competition:
- There are 12 girls.

3. Determine the total number of participants in the competition:
- Total participants = Number of boys + Number of girls
- Total participants = 12 boys + 12 girls = 24 participants.

4. Calculate the probability of a boy winning the competition:
- Probability is calculated as the number of favorable outcomes (i.e., a boy winning) divided by the total number of possible outcomes (i.e., any participant winning).
- Probability of a boy winning = Number of boys / Total participants
- Probability of a boy winning = 12 / 24

5. Simplify the fraction:
- 12 / 24 simplifies to 1/2.

Thus, the probability of a boy winning the quiz competition is [tex]\( \frac{1}{2} \)[/tex].