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 from the survey prefers bacon or pancakes?
23/100
31/100 ***
27/50
23/50
Liking pancakes and liking bacon are not mutually exclusive events, because some people like both. Therefore,
P(P or B)
= P(P) + P(B) - P(P and B)
= [(21 + 31) + (23 + 31) - (31)]/100
= ?
Thank you
3/4 ??????
Yes, that's correct.
Well, if we look at the table, we can see that there are 23 people who prefer bacon and 31 people who prefer pancakes. So, out of the 100 people surveyed, a total of 54 people prefer bacon or pancakes. Therefore, the probability that a randomly selected person from the survey prefers bacon or pancakes is 54/100, which simplifies to 27/50. So, the correct answer is 27/50. But don't worry, life's too short to stress over breakfast preferences!
To find the probability that a randomly selected person from the survey prefers bacon or pancakes, you need to add the number of people who prefer bacon and the number of people who prefer pancakes and then divide that sum by the total number of people surveyed.
In the given table, there are 23 people who prefer bacon and 31 people who prefer pancakes. Adding these two values, we get 23 + 31 = 54.
The total number of people surveyed is 100.
Now, divide the sum (54) by the total number (100) to get the probability:
54/100 = 0.54
Convert this fraction to a percentage by multiplying it by 100:
0.54 × 100 = 54
So, the probability that a randomly selected person from the survey prefers bacon or pancakes is 54/100 or 54%. Therefore, the correct answer is 31/100.