In a survey of 100 people, 60 people like reading books, 40 people like watching movies, and 20 people like both reading books and watching movies. If a person is randomly chosen from this group, what is the probability that the person likes reading books but not watching movies?
Options
A
0.2
B
0.4
C
0.6
D
0.8
Answer & Analysis
Answer
B
Analysis
Question Analysis
This question involves using Venn Diagrams to find the probability of a specific part of a compound event.
The main focus is on understanding how to isolate the relevant subset within the larger sets of “people who like reading” and “people who like watching movies” to calculate the probability.
Key Concept Explanation
To find the number of people who like reading books but not watching movies, we subtract the number of people who like both from the number of people who like reading.
The probability of an event is then the number of favorable outcomes (people who like reading but not movies) divided by the total number of outcomes (total number of people surveyed).
Step - by - Step Solution
Calculate the number of people who like reading books but not watching movies. Given that 60 people like reading books and 20 people like both reading and watching movies, so the number of people who like reading but not movies is .
The total number of people surveyed is 100.
The probability
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