Question

select the correct answer.
at a game show, there are three doors marked 1, 2, and 3. a contestant is allowed to select one of three keys labeled a, b, and c and then use it to open one of the doors. the sample space showing the ways in which a contestant can select a key and a door is represented in the table.

		door
		1	2	3
	a	a-1		a-3
key	b	b-1	b-2	b-3
	c	c-1	c-2	c-3

what is the missing term in the table? if there were two doors instead of three doors, what would the sample size be?
a. the missing term is a-2. the sample size would be 6.
b. the missing term is c-2. the sample size would be 8.
c. the missing term is c-2. the sample size would be 9.
d. the missing term is b-2. the sample size would be 12.

Explanation:

Step1: Find missing table term

The table pairs Key A with Door 1 (A-1) and Door 3 (A-3), so the missing pair is Key A + Door 2 = A-2.

Step2: Calculate new sample size

Number of keys = 3, number of doors = 2. Sample size = $3 \times 2 = 6$.

Answer:

A. The missing term is A-2. The sample size would be 6.