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Please help me with this ASAP

Please help me with this ASAP-example-1
User Xuso
by
4.6k points

2 Answers

5 votes

Answer:

16/41

Explanation:

Outside both: 9

Intersection (both): 16

0nly "Play instrument": 25

Only "Speak Foreign language": 30

Total: 80

P(Language/Instrument)

= n(both)/n(Instrument)

= 16/(25+16)

= 16/41

User Lloeki
by
4.7k points
2 votes

Answer:

1/5

Explanation:

We need to fill in the circles; on the left, we need to put the number of students who play an instrument. That information is given: it's 25.

In the middle, we need the number of students who both play an instrument and speak a foreign language: again, we know that's 16.

On the right, we need the number of students who speak a foreign language; that's 30.

Finally, there are 9 students who participate in neither of these activities, so place "9" outside the circles but still in the rectangle.

See the attachment.

Probability is basically (# times specific event can occur) / (# times general event will occur). Here, the specific event is getting a student who plays an instrument and speaks a foreign language, which is 16. The general event is just selecting a student; since there are 80 total students, that number would be 80.

Our probability is thus:

16 / 80 = 1/5

Please help me with this ASAP-example-1
User Wendu
by
4.9k points