Answer
a) 0.586
b) 0.897
c) 0.172
Step-by-step explanation
The probability of an event is given as the number of elements in the event divided by the total number of elements in the sample space.
Total number of elements in the sample space = 5 + 17 + 4 + 3 = 29
a) Probability that the student picked at random studied both subjects.
Number of students that studied both subjects = 17
Total number of elements in the sample space = 29
Probability that the student picked at random studied both subjects
= (Number of students that studied both subjects)/(Total number of elements in the sample space)
= (17/29)
= 0.586
b) Probability that the student picked studied at least one of the subjects
Number of students that studied at least one of the subjects = 5 + 17 + 4 = 26
Total number of elements in the sample space = 29
Probability that the student picked studied at least one of the subjects
= (Number of students that studied at least one of the subjects)/(Total number of elements in the sample space)
= (26/29)
= 0.897
c) Probability that the student picked studied only Geography
Number of students that studied only Geography = 5
Total number of elements in the sample space = 29
Probability that the student picked studied only Geography
= (Number of students that studied only Geography)/(Total number of elements in the sample space)
= (5/29)
= 0.172
Hope this Helps!!!