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

1 answer

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 \( \frac{4}{15} \).