Question

Below for question 10.

10. Harmony places the letters in the word DECEMBER into a bag. A letter will be randomly
selected and not replaced. Then another letter will be selected. What is the probability of
Hormony selecting a C and then an E?

Answer 1

3/56

Explanation:

There are 8 letters in the word DECEMBER. The probability of picking a C first is 1/8, since there's only one C. Since the letter is not replaced, there are now 7 letters to choose from, out which 3 of those are the letter E. Therefore, the probability of picking an E second is 3/7. The total probability then is equal to
`(1)/(8)` times
`(3)/(7)`, which is equal to
`(3)/(56)`.

Hope this helps! :D