MATH SOLVE

4 months ago

Q:
# If each coded item in a catalog begins with 3 distinct letters followed by 4 distinct nonzero digits, ﬁnd the probability of randomly selecting one of these coded items with the ﬁrst letter a vowel and the last digit even.

Accepted Solution

A:

Answer: 10/117Step-by-step explanation:3 distinct letters and 4 distinct nonzero digitsFor letters: A → Z = 26 optionsFor numbers: 1 → 9 = 9 optionsAs we have 26 options for letters and 9 for numbers and they have to be distinct, for the total of codes we haveTotal of codes: 26.25.24.9.8.7.6For the particular code asked, we have 5 options of vowels and 4 options of even numbers, so5.25.24.8.7.6.4probability: 5.25.24.8.7.6.4 = 10 26.25.24.9.8.7.6 117