a bag contains eight tiles labeled a, b, c, d, e, f, g, and h. one tile will be randomly picked. what is the…

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 vowel? write your answer as a fraction in simplest form.

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 vowel? write your answer as a fraction in simplest form.

Answer

Explanation:

Step1: Identify total outcomes

There are 8 tiles, so total number of outcomes is 8.

Step2: Identify favorable outcomes

Vowels among the tiles are A and E, so there are 2 favorable outcomes.

Step3: Calculate probability

Probability = $\frac{\text{Favorable outcomes}}{\text{Total outcomes}}=\frac{2}{8}$

Step4: Simplify the fraction

$\frac{2}{8}=\frac{2\div2}{8\div2}=\frac{1}{4}$

Answer:

$\frac{1}{4}$