Question

Choose at random a person aged 20 to 39 years. Ask their age and marital status (never married, married, or
widowed/divorced/separated). The table gives the probability model for 12 possible answers.
Age in years.
20-24 25-29 30-34 35-39
Never married
0.227 0.156 0.089 0.054
Married
0.027 0.086 0.137 0.148
Widowed/divorced/separated 0.006 0.015 0.022 0.033
What is p(A)?

Answer 1

The probability model shows the distribution of people of age 20 to 39 years

The value of the probability P(A) is 0.631

How to determine the probability, P(A)

From the question, the notation P(A) represents the probability that a person is either 20-24 years old or is married

From the table, we have the following parameters:

• P(20-24) = 0.227 + 0.027 + 0.006 = 0.26
• P(Married) = 0.027 + 0.086 + 0.137 + 0.148 = 0.398
• P(20-24 and Married) = 0.027

The probability, P(A) is then calculated as:

P(A) = P(20-24) + P(Married) - P(20-24 and Married)

Substitute known values

P(A) = 0.26 + 0.398 - 0.027

Evaluate the expression

P(A) = 0.631

Hence, the value of the probability P(A) is 0.631

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