Question

matching likelihood
there are 8 pieces of paper, each with one of these letters written on it: a, b, c, e, k, l, m, and r. one piece of paper is drawn. match the outcome with the word that expresses its likelihood.
the letter drawn is a vowel.
the letter drawn is one of the first ten letters in the alphabet.
the paper drawn has one letter on it.
the letter drawn is a consonant.

Explanation:

Step1: Calculate probability of drawing a vowel

There are 2 vowels (A, E) out of 8 letters. Probability = $\frac{2}{8}=\frac{1}{4}$, so it is unlikely.

Step2: Calculate probability of drawing a letter among first - ten

There are 4 letters (A, B, C, E) among the first ten out of 8 letters. Probability = $\frac{4}{8}=\frac{1}{2}$, so it is as likely as not.

Step3: Analyze drawing a paper with one letter

Since each paper has one letter, probability = 1, so it is certain.

Step4: Calculate probability of drawing a consonant

There are 6 consonants (B, C, K, L, M, R) out of 8 letters. Probability = $\frac{6}{8}=\frac{3}{4}$, so it is likely.

Answer:

The letter drawn is a vowel: Unlikely
The letter drawn is one of the first ten letters in the alphabet: As likely as not
The paper drawn has one letter on it: Certain
The letter drawn is a consonant: Likely