The probability that the selected student is a junior is 27%.
What is the probability of an event?
The probability of an event is the ratio of the number of outcomes favorable to the event to the total number of outcomes for the event. This represents the chance for the event to take place.
If A is the event, n is the number of outcomes favorable to the event and S is the total number of outcomes, then the probability of the event A is given as:
P(A) = n/S.
How do we solve the given question?
We are given a two-way table showing the number of freshmen, sophomores, juniors, and seniors in the class with respect to their gender.
We are asked to find the probability of selecting a junior student while picking a random student from the class.
Let the event of selecting a junior student from the class be A.
Number of favorable outcomes to event A (n) = 2 + 6 = 8 (junior males + junior females)
Total number of outcomes (students in the class) (S) = 4 + 6 + 2 + 2 + 3 + 4 + 6 + 3 = 30.
∴ The probability that the selected student is a junior is given by:
P(A) = n/S = 8/30
or, P(A) = (8/30)*100% = 26.67% = 27% (rounding to the nearest whole percent).
∴ The probability that the selected student is a junior is 27%.
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