Question

a bag contains eight tiles labeled a, b, c, d, e, f, g, and h. one tile will be randomly picked. what is the probability of picking a letter that is not a vowel? write your answer as a fraction in simplest form.

Explanation:

Step1: Determine total number of tiles

There are 8 tiles in total, so total number of possible outcomes \( n(S)=8 \).

Step2: Identify non - vowel tiles

Vowels in English alphabet are \( A, E, I, O, U \). Here, the vowel tiles are \( A\) and \( E\). So the number of non - vowel tiles \( n(A)=8 - 2=6 \).

Step3: Calculate probability

The probability formula is \( P(A)=\frac{n(A)}{n(S)} \). Substituting the values, we get \( P=\frac{6}{8}=\frac{3}{4} \).

Answer:

\(\frac{3}{4}\)