Answer:
P(2 different) ≈ 58.42%
Step-by-step explanation:
To find the probability that the 2 selected are different, we have to first find the probability that the 2 selected are the same.
probability that they are the same;
P(2 plain biscuits) = (12/20) × (11/19) = 132/380
P(2 chocolates) = (5/20) × (4/19) = 20/380
P(2 currant chocolates) = (3/20) × (2/19) = 6/380
Thus, generally;
P(2 same biscuits of either 3 types) = (132/380) + (20/380) + (6/380)
P(same) = 158/380
P(same) = 79/190
Thus, the probability that they are different will be;
P(2 different) = 1 - P(two same)
Thus;
P(2 different) = 1 − (79/190)
P(2 different) = 111/190
P(2 different) ≈ 58.42%
