Final answer:
The probability that Mrs. Robbins will grab a white shoe and then another white shoe in the dark is 1/231.
Step-by-step explanation:
The student's question is about calculating the probability of Mrs. Robbins grabbing two white shoes in the dark. Since Mrs. Robbins has 2 white shoes, the probability of her first pick being a white shoe is 2 out of the total number of shoes. The total number of shoes is 4 blue + 6 black + 2 brown + 2 white + 2 pink + 6 sparkly, which equals 22.
Therefore, the probability of the first shoe being white is 2/22 or 1/11. If Mrs. Robbins picks a white shoe and keeps it (without replacement), there will be 1 white shoe left out of a new total of 21 shoes. Thus, the probability of the second shoe being white is 1/21.
To find the overall probability of both events occurring, we multiply the two individual probabilities:
Probability of first white shoe * Probability of second white shoe = (1/11) * (1/21).
The final probability is (1/11) * (1/21) = 1/231. Therefore, the probability that Mrs. Robbins will grab a white shoe and then another white shoe is 1/231.