One hundred people were surveyed about their breakfast preferences. They had to choose between French toast and pancakes and between sausage and bacon. The results are in the table below:

Category French Toast Pancakes
Sausage 25 21
Bacon 23 31

What is the probability that a randomly selected person prefers bacon or pancakes?
¾
53/50
¼
11/25

To find the probability that a randomly selected person prefers bacon or pancakes, we need to add up the number of people who prefer bacon and the number of people who prefer pancakes, and then divide that by the total number of people surveyed.

In this case, the number of people who prefer bacon is 23, and the number of people who prefer pancakes is 31. So, the total number of people who prefer bacon or pancakes is 23 + 31 = 54.

The total number of people surveyed is 100.

Now, we can calculate the probability by dividing the number of people who prefer bacon or pancakes (54) by the total number of people surveyed (100):

54/100 = 27/50

Therefore, the probability that a randomly selected person prefers bacon or pancakes is 27/50.

To find the probability that a randomly selected person prefers bacon or pancakes, we need to consider the number of people who prefer bacon and pancakes separately, and then add those probabilities together.

Looking at the table, we can see that 31 people prefer pancakes and 23 people prefer bacon. To get the probability for each preference, we need to divide these values by the total number of people surveyed.

The total number of people surveyed is the sum of the preferences for each combination, so we add 25 (French toast + sausage), 21 (French toast + bacon), 23 (pancakes + bacon), and 31 (pancakes + sausage):

25 + 21 + 23 + 31 = 100

Now we can calculate the probability for each preference:

Probability of preferring pancakes = Number of people who prefer pancakes / Total number of people surveyed = 31 / 100

Probability of preferring bacon = Number of people who prefer bacon / Total number of people surveyed = 23 / 100

To find the probability of preferring bacon or pancakes, we add these probabilities:

Probability of preferring bacon or pancakes = Probability of preferring bacon + Probability of preferring pancakes
= 23/100 + 31/100
= 54/100

Simplifying the fraction, we get 27/50.

Therefore, the probability that a randomly selected person prefers bacon or pancakes is 27/50.

that would be 1 - P(sausage & toast) = 1 - 25/100 = 3/4

Or, draw the grid and you include everything in either the bacon row or the pancakes column, which adds up to 75/100