There are 1000 students in a high school. Among the 1000 students, 150 students
ID: 3061659 • Letter: T
Question
There are 1000 students in a high school. Among the 1000 students, 150 students take AP Statistics, and 300 students take AP French. 100 students take both AP courses.
Let S be the event that a randomly selected student takes AP Statistics, and F be the event that a randomly selected student takes AP French.
Complete the Venn diagram by inserting the appropriate probabilities in each of its sections. If you prefer, you can make a Contingency Table instead of the Venn diagram.
b) What is the probability of the event of (S or F)?
__________
c) What is the probability of the event (S and not F)
__________
d) What is the probability of the event [neither (S nor F)]
__________
Note: (S or F) means: student takes AP Statistics or students take AP French.
(S and not F) means: student takes AP Statistics and does not take AP French.
Explanation / Answer
a)
F F'
S 100 50
S' 200 650
b) P(S or F) = P(S) + P(F - P(S and F) = 150/1000 + 300/1000 - 100/1000 = 0.35
c) P(S and not F) = P(S) - P(S and F) = 150/1000 - 100/1000 = 0.05
d) P(neither S nor F) = 1 - P(S or F) = 1 - 0.35 = 0.65
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