A group of teenagers are asked about their favourite hobbies. The results are shown in the following table: Sports Playing video
games Watching films Total Male 9 2 3 14
Female 7 3 8 18
Total 16 5 11 32
Q6a. In fractions, what is the probability that a teenager selected at random is female and their favourite hobby is watching films? You can simplify this fraction if you wish.
Using the probability concept, it is found that there is a probability that a teenager selected at random is female and their favorite hobby is watching films.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
In this problem:
There is a total of 32 teenagers.
Of those, 8 are female with a favorite hobby of watching films.
Hence:
probability that a teenager selected at random is female and their favorite hobby is watching films.