Video Transcript
The table shows the television
preferences of a sample of 100 people. If a person is selected at random
from the sample, what is the probability they prefer news?
We’re told that this person is to
be selected at random, which means that every person in the sample has an equal
chance of being chosen. When all outcomes from an
experiment are equally likely, we can calculate the probability of a particular
event occurring by dividing the number of successful outcomes by the total number of
outcomes. In this case, the number of
successful outcomes is the number of people who said they prefer news. The total number of outcomes is the
total number of people in the sample, which is 100.
From the table, we can identify
that the number of people who said they prefer news is 22. Hence, the probability that a
person selected at random prefers news is 22 over 100. We can simplify this fraction by
dividing both the numerator and denominator by two to give the answer 11 over
50.
