Given that the probability of selecting a red pepper, $P(\text{red pepper}) = \frac{3}{5}$, we need to find the probability of selecting a pepper that is not red, which in this case is a yellow pepper, $P(\text{yellow pepper})$, to complete the probability model.

Probability and StatisticsProbabilityBasic ProbabilityProbability ModelsComplementary Probability
2025/3/26

1. Problem Description

Given that the probability of selecting a red pepper, P(red pepper)=35P(\text{red pepper}) = \frac{3}{5}, we need to find the probability of selecting a pepper that is not red, which in this case is a yellow pepper, P(yellow pepper)P(\text{yellow pepper}), to complete the probability model.

2. Solution Steps

The total probability of all possible outcomes in a probability model must equal

1. In this case, we have two outcomes: selecting a red pepper or selecting a yellow pepper.

Therefore, P(red pepper)+P(yellow pepper)=1P(\text{red pepper}) + P(\text{yellow pepper}) = 1.
We are given that P(red pepper)=35P(\text{red pepper}) = \frac{3}{5}.
Substituting this value into the equation, we get:
35+P(yellow pepper)=1\frac{3}{5} + P(\text{yellow pepper}) = 1
To find P(yellow pepper)P(\text{yellow pepper}), we subtract 35\frac{3}{5} from both sides of the equation:
P(yellow pepper)=135P(\text{yellow pepper}) = 1 - \frac{3}{5}
P(yellow pepper)=5535P(\text{yellow pepper}) = \frac{5}{5} - \frac{3}{5}
P(yellow pepper)=25P(\text{yellow pepper}) = \frac{2}{5}

3. Final Answer

P(yellow pepper)=25P(\text{yellow pepper}) = \frac{2}{5}

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