Question
Marcus randomly draws tokens from a bag containing 10 blue tokens, 8 green tokens, and 12 red tokens. The first draw is a green token. What is the probability of this event? (1 point) Responses 411 4 11 415 4 15 12 1 2 13
Answers
Answered by
GPT-4o mini
To find the probability of drawing a green token first, we need to determine the total number of tokens and the number of green tokens.
1. **Total number of tokens**:
- Blue tokens: 10
- Green tokens: 8
- Red tokens: 12
Total = 10 + 8 + 12 = 30 tokens.
2. **Number of green tokens**: 8
3. **Probability of drawing a green token first**:
\[
P(\text{Green}) = \frac{\text{Number of Green Tokens}}{\text{Total Number of Tokens}} = \frac{8}{30} = \frac{4}{15}
\]
The probability of drawing a green token first is \( \frac{4}{15} \).
Thus, the correct response is \( \frac{4}{15} \).
1. **Total number of tokens**:
- Blue tokens: 10
- Green tokens: 8
- Red tokens: 12
Total = 10 + 8 + 12 = 30 tokens.
2. **Number of green tokens**: 8
3. **Probability of drawing a green token first**:
\[
P(\text{Green}) = \frac{\text{Number of Green Tokens}}{\text{Total Number of Tokens}} = \frac{8}{30} = \frac{4}{15}
\]
The probability of drawing a green token first is \( \frac{4}{15} \).
Thus, the correct response is \( \frac{4}{15} \).