How to Find Probabilities using Two-Way Frequency Tables?

Finding Probabilities using Two-Way Frequency Tables Example 1:

a) \(\frac{number \ of students \ with \ green \ eyes}{number \ of \ students}=\frac{15}{139}\)

b) \(\frac{number \ of \ females}{number \ of \ students}=\frac{63}{139}\)

Finding Probabilities using Two-Way Frequency Tables Example 2:

Students were asked what their hair color was; the results are shown below. If a boy is selected at random, find the probability that the boy has brown hair.

Solution: \(\frac{number \ of \ boys \ with \ brown \ hair}{number \ of \ students}=\frac{13}{99}\)

Exercises for Finding Probabilities using Two-Way Frequency Tables

Solve all the problems.

1) The two-way table shows the distribution of members of the audience at a play.

a) Complete the two-way tables.

b) What is the probability that a randomly chosen audience member is a child and is seated in the circle?

c) What is the probability that a randomly chosen audience member is a child?

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2) The following table represents the data collected from 120 conference attendees of different nationalities:

a) Complete the two-way tables.

b) Find the probability that a randomly selected participant is an English-speaking woman.

1)

b) Probability: \(\frac{32}{115}\)

c) Probability: \(\frac{64}{115}\)

2)

b) Probability: \(\frac{17}{120}\)

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