The table above shows the results of a survey in which tablet users were asked how often they would watch video advertisements in order to access streaming content for free. Based on the table, which of the following is closest to the probability that a tablet user answered “Always,” given that the tablet user did not answer “Never”?

Options

A. `0.31`
B. `0.38`
C. `0.45`
D. `0.69`

Answer

C

Explanation

It’s given that the tablet user did not answer “Never,” so the tablet user could have answered only “Rarely,” “Often,” or “Always.” These answers make up 24.3% + 13.5% + 30.9% = 68.7% of the answers the tablet users gave in the survey. The answer “Always” makes up 30.9% of the answers tablet users gave in the survey. Thus, the probability is `"30.9%"/"68.7%"`, or `0.309/0.687` =0.44978 , which rounds up to 0.45
Choice A is incorrect. This reflects the tablet users in the survey who answered “Always.” Choice B is incorrect. This reflects all tablet users who did not answer “Never” or “Always.” Choice D is incorrect. This reflects all tablet users in the survey who did not answer “Never.”