Question

Everett is rolling a block with the numbers 1, 2, 3, 4, 5, and 6 on it. Finley is drawing one disk from a basket of three disks: one blue, one red, and one yellow.
What is the probability that Everett and Finley end up with an even number and a blue disk?


A. 1/6



B. 1/5



C. 1/3

Answer 1

Option A:

The probability that Everett and Finley end up with an even number and a blue disk is $\frac{1}{6}$.

Solution:

Given data:

Everett is rolling a block with numbers = {1, 2, 3, 4, 5, 6}

Finley is drawing one disk from basket with colors = {blue, red, yellow}

Total number of numbers = 6

Total number of colors = 3

$\text { Probability }=\frac{\text {Number of possible outcomes}}{\text {Total number of outcomes}}$

$P\text{(Even number)} =\frac{3}{6}$

$P\text{(Blue disk)} =\frac{1}{3}$

$P\text{(Even number and Blue disk)} =\frac{3}{6}\times\frac{1}{3}$

                                                  $=\frac{3}{18}$

Divide numerator and denominator by the common factor 3.

                                                  $=\frac{3\div3}{18\div3}$

                                                  $=\frac{1}{6}$

Option A is the correct answer.

Hence the probability that Everett and Finley end up with an even number and a blue disk is $\frac{1}{6}$.