Question

In a tourist group, there are 15 Australian men, 23 Australian women, 27 British men, and 20 British women. What is the probability that a selected tourist will be Australian or male? *Fill in the blanks with your fractions in order according to the problem and simplify the fraction for your final answer. + - =

Answer 1

The probability that a selected tourist will be Australian or male is 0.76

Explanation:

Given:

Number of Australian men = 15

Number of Australian Women = 23

Number of British men = 27

Number of British Women = 20

To Find:

The probability that a selected tourist will be Australian or male

Solution:

The probability ( Australian or male) = Probability( Australian men) +Probability( Australian Women) +Probability( British men)

The total number of people in the tourist group

=>15 + 23+27+20

=>85 people

Probability( Australian men) =
`(15)/(85)`----------------(1)

Probability( Australian Women) =
`(23)/(85)` -----------------(2)

Probability( British men) =
`(27)/(85)`--------------------(3)

From(1), (2), (3)

The probability ( Australian or male) =
`(15)/(85) + (23)/(85) + (27)/(85)`

The probability ( Australian or male) =
`(65)/(85)`

The probability ( Australian or male) = 0.76