Problem-Solving and Data AnalysisVery hardConditional probability among those who do not play tennis
Problem-Solving and Data Analysis practice question
In a class of 30 students, 18 play football, and 12 of those also play tennis. Of the 12 students who do not play football, 3 play tennis. If a student who does not play tennis is chosen at random, what is the probability that the student plays football?
Answer: 2/5 or .4 or 0.4
Non-tennis players: 6 who play football and 9 who do not, 15 in all. So the probability is 6/15 = 2/5.
Common wrong answers
- If you answered 1/5
- 1/5 divides 6 by 30 instead of by 15.
- If you answered 3/5
- 3/5 is the probability that a random student plays football.
- If you answered 2/3
- 2/3 divides 6 by 9.
More Problem-Solving and Data Analysis questions
- Very hard
An item priced at $200 is first marked down by 20%, and then an additional 10% is taken off the reduced price.… - Very hard
A data set of 6 test scores has a mean of 78. After a 7th score is added, the mean rises to 80. What was the 7… - Very hard
If one of the chips that failed inspection is selected at random, what is the probability that it was produced… - Very hard
The regular price of a bicycle at a shop was increased by 25%. Later, during a sale, this increased price was … - Very hard
What is the result when the mean number of pets is subtracted from the median number of pets? - Very hard
What is the value of x?
Not affiliated with the College Board. SAT is a trademark of the College Board.