Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

matt spins a 12 on the big spin at the fair. if the 25 different number…

Question

matt spins a 12 on the big spin at the fair. if the 25 different numbers are equally spaced. what are the odds he can spin a 12 again and win the big prize?

Explanation:

Step1: Determine the total number of outcomes

The spinner has 25 different numbers, so the total number of possible outcomes is \( n = 25 \).

Step2: Determine the number of favorable outcomes

There is only 1 favorable outcome (spinning a 12), so the number of favorable outcomes is \( m=1 \).

Step3: Calculate the probability

The probability \( P \) of an event is given by the formula \( P=\frac{m}{n} \). Substituting \( m = 1 \) and \( n = 25 \), we get \( P=\frac{1}{25} \).

Step4: Convert the fraction to a percentage

To convert \( \frac{1}{25} \) to a percentage, we use the formula \( \text{Percentage}=\frac{1}{25}\times100\% \).

$$ LATEXBLOCK0 $$

Answer:

4%