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

a bag contains ten tiles labeled b, c, d, e, f, g, h, i, j, and k. 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 ten tiles labeled b, c, d, e, f, g, h, i, j, and k. 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 10 tiles in total, so the total number of possible outcomes is 10.

Step2: Identify favorable outcomes

The vowels among the tiles are E and I, so there are 2 favorable outcomes.

Step3: Calculate probability

The probability $P$ of an event is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So $P = \frac{2}{10}$.

Step4: Simplify the fraction

$\frac{2}{10}=\frac{1}{5}$ by dividing both the numerator and denominator by 2.

Answer:

$\frac{1}{5}$