Question

Choose an American adult at random. The probability that you choose a woman is 0.52. The probability that the person you choose has never married is 0.25. The probability you choose a woman who has never married is 0.11. Please use this information to answer the following questions.

1. Create a Two-Way Table to visually represent these Events.

Answer 1

GIVEN:

The probability that you choose a woman = 0.52

The probability that the person you choose has never married = 0.25

The probability you choose a woman who has never married = 0.11.

SOLUTION:

Given that the probability that you choose a woman = 0.52.

Thus the probability that you choose a man is given by,

Given that the probability the person you choose has never married = 0.25

Thus the probability that the person you choose has married is given by,

  

  

The probability that you choose a woman who has never married = 0.11.

Thus the two way table from the above information is given below:

	Married	Never Married	Total
Man			0.48
Woman	?	0.11	0.52
Total	0.75	0.25	1.00

Now let us find the probability that you choose a woman who has married. (Cell with question mark)

We know that the probability that you choose a woman (Total) is 0.52 and the probability that you choose a woman who has never married is 0.11,

Thus the probability that you choose a woman who has married

  

Thus the two way table to visually represent the given events is given below:

	Married	Never Married	Total
Man	?		0.48
Woman	0.41	0.11	0.52
Total	0.75	0.25	1.00

Now let us find the probability that you choose a man who has married. (Cell with question mark)

We know that the probability that the person you choose has married (Total) is 0.75 and the probability that you choose a woman who has married is 0.41,

Thus the probability that you choose a man who has married

Thus the two way table to visually represent the given events is given below:

	Married	Never Married	Total
Man	0.34	?	0.48
Woman	0.41	0.11	0.52
Total	0.75	0.25	1.00

Now let us find the probability that you choose a man who has never married. (Cell with question mark)

We know that the probability that that you choose a man (Total) is 0.48 and the probability that you choose a man who has married is 0.34,

Thus the probability that you choose a man who has never married

  

Thus the two way table to visually represent the given events is given below:

	Married	Never Married	Total
Man	0.34	0.14	0.48
Woman	0.41	0.11	0.52
Total	0.75	0.25	1.00