Question

A bag contains 8 dark chocolates and 4 milk chocolates, One chocolate is taken out and eaten. A second chocolate is then taken. Find the probability tha a) two milk chocolates are taken.

Answer 1

The probability of taking two milk chocolates from the bag is 1/11.

Step-by-step explanation:

To find the probability that two milk chocolates are taken, we need to consider the two events separately:

1. Probability of taking one milk chocolate from the bag: There are 4 milk chocolates out of a total of 12 chocolates in the bag. So, the probability of taking a milk chocolate on the first draw is 4/12.
2. Probability of taking a second milk chocolate: After the first chocolate is eaten, there are now only 3 milk chocolates left out of a total of 11 chocolates in the bag. So, the probability of taking a second milk chocolate is 3/11.

To find the overall probability of both events occurring, we multiply the individual probabilities: (4/12) * (3/11) = 12/132 = 1/11.