Question

a random sample of adults are asked about their preferences for games. complete the two - way table so that it has the characteristics listed. 122 people responded to the survey. 50 of the people who said they prefer board games said they also prefer two - player games. 68 people prefer two - player games. 56 people prefer card games rather than board games. type the answers in the boxes below.

Explanation:

Step1: Find number of two - player card game preferrers

We know that 68 people prefer two - player games and 50 of them prefer board games. So the number of people who prefer two - player card games is $68 - 50=18$.

Step2: Find number of board game preferrers

The total number of people surveyed is 122 and 56 people prefer card games. So the number of people who prefer board games is $122 - 56 = 66$.

Step3: Find number of three - or more - player board game preferrers

Since 50 people who prefer board games also prefer two - player games, the number of people who prefer board games and three - or more - player games is $66 - 50=16$.

Step4: Find number of three - or more - player card game preferrers

The number of people who prefer card games is 56, and 18 of them prefer two - player card games. So the number of people who prefer card games and three - or more - player games is $56 - 18 = 38$.

Answer:

	Board Games	Card Games
3 or More Players	16	38