Final answer:
The probability that Nesly will choose a purple mask from a box containing 6 pink, 2 blue, and 4 purple masks is 1/3.
Step-by-step explanation:
Nesly has a total of 12 masks in a box: 6 pink, 2 blue, and 4 purple masks. If she randomly selects one mask from the box, we can calculate the probability of choosing a purple mask by dividing the number of purple masks by the total number of masks.
The formula for probability is P(event) = Number of favorable outcomes / Total number of outcomes.
Step 1: Identify the Number of Favorable Outcomes
The number of favorable outcomes for selecting a purple mask is the number of purple masks, which is 4.
Step 2: Identify the Total Number of Outcomes
The total number of masks is the sum of pink, blue, and purple masks: 6 + 2 + 4 = 12.
Step 3: Calculate the Probability
Now we can calculate the probability that Nesly will choose a purple mask by dividing the number of purple masks by the total number of masks.
So, P(purple mask) = Number of purple masks / Total number of masks = 4 / 12 = 1/3.
Therefore, the probability that Nesly will choose a purple mask is 1/3.