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

Answer

Explanation:

Step1: Count total outcomes

There are 10 tiles, so total number of outcomes $n = 10$.

Step2: Count favorable outcomes

Vowels are a, e, i, o, u. Among the given letters B, C, D, E, F, G, H, I, J, K, the vowels are E and I. So non - vowels are $10 - 2=8$. Favorable outcomes $m = 8$.

Step3: Calculate probability

The probability formula is $P=\frac{m}{n}$. Substituting $m = 8$ and $n = 10$, we get $P=\frac{8}{10}=\frac{4}{5}$.

Answer:

$\frac{4}{5}$