Modded SAT Question Bank
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Test
Math
Domain
Problem-Solving and Data Analysis
Skill
Probability and conditional probability
Difficulty
Easy
ID: ec7b0eb8
Modded SAT Question Bank by Abdullah Mallik
Texting behaviorTalks on cell phone dailyDoes not talk on cell phone dailyTotal
Light110146256
Medium139164303
Heavy16674240
Total415384799
 

In a study of cell phone use, 799 randomly selected US teens were asked how often they talked on a cell phone and about their texting behavior. The data are summarized in the table above. If one of the 799 teens surveyed is selected at random, what is the probability that the teen talks on a cell phone daily?

  1. 1 over 799

  2. 415 over 799

  3. 384 over 415

  4. 384 over 799


Tip: Press CTRL/Command to toggle answer
Correct Answer: B
Rationale

Choice B is correct. If one of the teens surveyed is selected at random, the probability that the teen talks on a cell phone daily is equal to the quotient of the total number of teens who reported that they talk on a cell phone daily, 415, and the total number of teens surveyed, 799. Therefore, this probability is equal to 415 over 799.

Choice A is incorrect. This fraction represents the probability of selecting at random any one of the 799 teens surveyed. Choice C is incorrect and may result from conceptual errors. Choice D is incorrect. This fraction represents the probability of selecting at random one of the 799 teens surveyed who doesn’t talk on a cell phone daily. 

Question Difficulty: Easy
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