Question

A bag contains all the letters in the word MATHEMATICS. You draw two letters, one at a time. What is the probability of drawing a T, replacing it, then drawing a C?

Answer 1

The probability of drawing a T, replacing it, then drawing a C is 2/121.

Step-by-step explanation:

To find the probability of drawing a T, replacing it, and then drawing a C, we need to consider the total number of letters and the number of T and C letters. In the word MATHEMATICS, there are two T's and one C. The probability of drawing a T on the first draw is 2/11 (since there are 2 T's out of a total of 11 letters). Since the T is replaced, the probability of drawing a C on the second draw is also 1/11. To find the probability of drawing both the T and the C, we multiply the probabilities together: 2/11 * 1/11 = 2/121.