QuestionSuppose a box contains 2 blue, 2 red, 3 purple, and 3 green pencils.
Find $P($ not red|not green).

Studdy Solution
Calculate the conditional probability $P(\text{not red} \mid \text{not green})$ using the formula:
$$P(\text{not red} \mid \text{not green}) = \frac{\text{Number of pencils that are not red and not green}}{\text{Total number of pencils that are not green}}$$
Substitute the values:
$$P(\text{not red} \mid \text{not green}) = \frac{5}{7}$$
The probability is:
$$\boxed{\frac{5}{7}}$$