Question

An eight-sided die , which may not be a fair die, has four colors on it; you have been tossing the die for an hour and have recorded the color rolled for each toss.What is the probability you will roll a purple on your next toss of the die? Express your answer as a simplified fraction or a decimal rounded to four decimal places Orange =23 Yellow =21Purple =22Brown =45

Answer 1

$P=\frac{22}{111}\:or\:0.1981$

1) The first thing we need to do, is to find the sample space, i.e. the number of total outcomes. We can do that by adding up all the results in that table.

$23+21+22+45=111$

2) Now, let's find the number of favorable events. In this case, it's the number of times that die landed with a purple face up.

$22$

3) The next step is to find the Probability:

$P=\frac{22}{111}$