Question

This table shows how many male and female students attended two different movies. What is the probability that arandomly chosen person from this group is female?Round your answer to two decimal places.

Answer 1

Step-by-step explanation:

Given;

We are given a frequency table showing the male and female students that attended two different movies.

Required;

We are required to find the probability that a randomly chosen person from this group is female.

Step-by-step solution;

Note that the probability of an event is calculated by the formula;

`P[Event]=\frac{Number\text{ }of\text{ }required\text{ }outcomes}{Number\text{ }of\text{ }all\text{ }possible\text{ }outcomes}`

From the table given, we have a total of,

`\begin{gathered} Male=229 \\ \\ Female=250 \\ \\ Total=479 \end{gathered}`

Therefore, if a person were to be chosen at random, the probability of being a female would be;

`\begin{gathered} P[Female]=(250)/(479) \\ \\ P[Female]=0.521920668058 \end{gathered}`

Rounded to two decimal places, we now have;

ANSWER:

`Option\text{ }B:0.52`

The correct answer is option B