Concept explainers
To find the probability that a randomly selected student is a junior and a volleyball player.
Answer to Problem 4E
Explanation of Solution
Given:
The following shows the information table
Calculation:
Let A be the event representing the selection of a junior and B the event representing the activity for a field day.
The probability of event A is presented by
Where 17 represents the total number of juniors and 27 the total number of students
The probability of event B is presented by
Where 9 represent the total number of students assigned to a field day and 27 the total number of students
Also, notice that there 2 students that are juniors and have been assigned to field day
Then, use the formula for not mutually exclusive events
The probability that a randomly selected student is a junior and a volleyball player is
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