In a high-school, 135 freshmen were interviewed. Thirty-five of them took PE, 42 took BIO, 60 took ENG, 10 took PE and BIO, 15 took PE and ENG, 7 took BIO and ENG, and 5 took all three subjects.
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What is the probability that a randomly-chosen student from this group did not take exactly two subjects?

Step-by-step explanation:

Total Number of Students =135

Number who took all three subjects=5

Number who took PE and BIO=10

Number who took PE and ENG=15

Number who took BIO and ENG=7

Therefore:

Total Number of students who took exactly two subjects=5+10+2=17

Therefore:

Number of students who did not take exactly two subjects=135-17=118

The probability that a randomly-chosen student from this group did not take exactly two subjects

10 down (bang1)

5 up

5down (2)

2.5 up

2.5 down (3)

1.25 up

1.25 down (4)

now add them up : )

hoped i lol

where does the z at is it on the x axes or on the y axes any way if it is on the y axes put it horizontally and if it is on the x axes put it vertically