The 36 students in 8 Enriched were assigned three challenging problems, A, B and C. A...
The 36 students in 8 Enriched were assigned three challenging problems, A, B and C. A poll of the classes, one week later, showed that each student had solved at least one of the problems. It also showed this additional information.
o 10 students had solved all three points o 12 students had
solved A and B
o 17 students had solved B and C
o 21 students had solved A and C
o 24 students had solved A
o 22 students had solved B
o 30 students had solved C
If one student is chosen at random,
-
a) What is the probability a student solved problem C only?
-
b) What is the probability a student solved problem A only?
-
c) What is the probability a student solved exactly one problem?
-
d) What is the probability a student solved exactly two problems?
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