Question

You have a bag of 26 letter tiles, each tile containing a single letter from the English alphabet. You also have a two-sided coin with heads on one side and tails on the other side.

Part A: What is the probability of selecting a vowel (A, E, I, O, U) from the bag of tiles?
a) 5/26
b) 5/13
c) 10/26
d) 10/13

Answer 1

The probability of picking a vowel from the bag of 26 alphabet tiles is 5/26, which corresponds to option (a). The vowels considered are A, E, I, O, and U.

Step-by-step explanation:

The probability of selecting a vowel from a bag of 26 letter tiles, where each tile contains a single letter from the English alphabet, can be calculated by dividing the number of vowels by the total number of letters in the English alphabet. The vowels are A, E, I, O, U. So, there are 5 vowels out of the 26 letters.

The formula for probability is:

P(event) = Number of favorable outcomes / Total number of outcomes

So, the probability of picking a vowel is:

P(vowel) = 5 vowels / 26 letters =

5/26

This matches option (a).

The four letters that are always used as vowels are <a>, <e>, <i>, and <o>. Sometimes, <u> is also considered a vowel, bringing the total to five. The letter <y> can sometimes act as a vowel as well.