Question

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.

Answer 1

Using the probability concept, it is found that there is a $\frac{1}{4}$ probability that a teenager selected at random is female and their favorite hobby is watching films.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem:

• There is a total of 32 teenagers.

• Of those, 8 are female with a favorite hobby of watching films.

Hence:

$p = \frac{8}{32} = \frac{1}{4}$

$\frac{1}{4}$ probability that a teenager selected at random is female and their favorite hobby is watching films.

You can learn more about the probability concept at brainly.com/question/15536019