Question

pique macho is a popular bolivian dish made with three colors of peppers. in a bin there are 12 peppers: 2 red, 4 yellow, and 6 gree without looking, a cook chooses a pepper. what is the probability that it is yellow?

Explanation:

Step1: Recall the probability formula

The probability of an event \( E \) is given by \( P(E)=\frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} \).

Step2: Identify favorable and total outcomes

• Number of favorable outcomes (yellow peppers) \( = 4 \).
• Total number of possible outcomes (total peppers) \( = 12 \).

Step3: Calculate the probability

Substitute the values into the formula: \( P(\text{yellow})=\frac{4}{12} \). Simplify the fraction by dividing numerator and denominator by their greatest common divisor, which is 4. So, \( \frac{4\div4}{12\div4}=\frac{1}{3} \).

Answer:

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