Video Transcript
The graph shows the results of an
experiment in which a die was rolled 26 times. Find the experimental probability
of rolling a two. Give your answer as a fraction in
its simplest form.
Here, we can see that we have a bar
graph representing the number of times the values one to six were rolled on a
die. For example, number one was rolled
four times. Number two was rolled eight
times. We can calculate the experimental
probability of rolling a two as the number of times two was rolled over the total
number of rolls. If we look at the bar chart, even
if we weren’t given the figure of eight, we could read that the top of bar two comes
to the value of eight. In other words, the number two was
rolled eight times. We are then given that the die was
rolled 26 times. However, even if we weren’t given
this total number of rolls, we could calculate it by adding four, eight, eight,
three, one, and two. This would give us a value of
26. The probability of rolling a two is
eight over 26. But as these are both even numbers,
we know that this fraction will simplify further to four over 13. And that’s our fraction in its
simplest form for the experimental probability of rolling a two.