PSAT Math Multiple-Choice Practice Question 739

Question: 739

The data are collected from a survey of 500 randomly selected people in the United States. The researcher asked participants their ages and what type of social media they use the most frequently: video sharing, photo sharing, text sharing, or none. The goal of the researcher was to determine the general characteristics of social media use by different age groups throughout the United States.
Type of Social Media Use by Numbers of People in Different Age Groups
Age Group
Video Sharing
Photo Sharing
Text Sharing
No Social Media
Total
12–18
40
32
20
2
94
19–30
31
51
43
6
131
31–45
20
20
40
24
104
46–60
9
8
36
35
88
61–up
2
3
29
49
83

The researcher is going to pick two of his research subjects from this survey to speak anecdotally about their experiences with social media so that he may have qualitative data to supplement his quantitative data. The first person who will speak will be from the 12–18-year-old group. The second person will be from the 31–45-year-old group. What is the probability (to the nearest hundredth) that the first speaker will primarily use photo sharing and that the second speaker will primarily use text sharing?

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