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 the total number of possible outcomes is \( n = 8 \).

Step2: Identify non - vowel letters

Vowels are \( A, E \). Non - vowel letters are \( B, C, D, F, G, H \), so the number of favorable outcomes \( m=6 \).

Step3: Calculate probability

Probability formula is \( P=\frac{m}{n} \). Substituting \( m = 6 \) and \( n = 8 \), we get \( P=\frac{6}{8}=\frac{3}{4} \).

Answer:

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