Question

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 letter that is not a vowel? write your answer as a fraction.

Explanation:

Step1: Identify total number of outcomes

There are 10 tiles in total, so the total number of possible outcomes is $n = 10$.

Step2: Identify number of favorable outcomes

The vowels in the English - alphabet are a, e, i, o, u. Among the tiles labeled B, C, D, E, F, G, H, I, J, K, the vowels are E and I. So the number of non - vowels is $10−2=8$.

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 $P=\frac{8}{10}=\frac{4}{5}$.

Answer:

$\frac{4}{5}$