Video Transcript
The table below contains data from
a survey of students who were asked whether their preferred sport was baseball,
soccer, or hockey. The results are split by
gender. Given that a student prefers
baseball, find the probability that they are female. Give your answer to three decimal
places.
Let’s denote baseball by 𝐵 and
female by 𝐹. The probability of 𝐹 given 𝐵 is
the number of female baseball preferers divided by the total number of baseball
preferers. To find the total baseball, we
simply sum all of the entries in the baseball row of the table. This sum is 118.
We can now substitute in our value
of 72 female baseball preferers from the table and the total of 118 that we have
just calculated. 72 divided by 118 equals 0.610 to
three decimal places, which is the probability that we were asked to find.
