Question

A bag contains 26 cards with a letter on each, one for each letter of the alphabet. What is the probability of randomly choosing a card with one of the first 5 letters of the alphabet on it or randomly choosing a card with a vowel on it?

a) 5/13
b) 7/26
c) 4/13
d) 9/26

Answer 1

The probability of randomly choosing a card with one of the first 5 letters of the alphabet or a vowel is 7/26.

Step-by-step explanation:

To find the probability of randomly choosing a card with one of the first 5 letters of the alphabet or a vowel, we need to find the number of favorable outcomes and divide it by the total number of possible outcomes. There are 5 letters in the first 5 letters of the alphabet and 5 vowels, with 3 letters (a, e, i) overlapping between the two sets. Therefore, the number of favorable outcomes is 5 + 5 - 3 = 7. The total number of cards is 26. So, the probability is 7/26.