Question

suppose that you can use a solid with 5 faces labeled a, b, c, d, and e to make a fair die. the table shows the sample space of possible outcomes for rolling the die twice. use the table to determine each probability. express your answers as fractions in lowest terms. sample problem p(b on the first roll) = 1/5 p(a on the second roll, given that the first roll was a vowel) > enter the answer in the space provided. use numbers instead of words.

Explanation:

Step1: Identify vowels among labels

Vowels among A, B, C, D, E are A and E. So there are 2 vowels.

Step2: Consider conditional - probability concept

The first - roll being a vowel does not affect the second - roll outcome for a fair die. Each roll is an independent event.

Step3: Calculate probability of getting A on second roll

The probability of getting A on a single roll of a 5 - faced fair die is $\frac{1}{5}$ since there is 1 face labeled A out of 5 faces.

Answer:

$\frac{1}{5}$