Posted by **Christy** on Wednesday, December 15, 2010 at 1:04am.

There are a total of 107 foreign language students in a high school where they offer only Spanish, French, and German. 42 take Spanish.

46 take French.

45 take German.

8 take Spanish and French but not German.

8 take Spanish and German but no French.

6 take French and German but not Spanish.

24 students are taking at least two languages.

What is the probability that a student randomly selected from those taking exactly one language takes French in this semester?

- math -
**Reiny**, Wednesday, December 15, 2010 at 8:39am
Best done with a Venn diagram.

overlap three circles called S F and G

place x in the middle for S F and G

fill in the rest of the entries

e.g. the number taking only Spanish = 42 - 8 - 8 - x

= 26-x

similarly:

only German = 45 - 8 - 6 - x = 31 - x

only French = 46 - 8 - 6 - x = 32 - x

we can find x ....

26-x +8+8+6+x+32-x+31-x = 107

-2x = -4

x = 2

so those taking only French = 32-2= 30

prob of stated event = 30/107

- math -
**Anonymous**, Sunday, July 19, 2015 at 11:14am
2+2=4

- math -
**Salma**, Wednesday, February 24, 2016 at 5:43pm
Let's do 100+90+4. You are thinking now this is impossible but no you can sum this the answer of this you are thinking that is 194 so yes cause just you need to put the one of the hundred place, the nine of the tens place and the four of the ones place

- math -
**Salma**, Wednesday, February 24, 2016 at 5:47pm
27563-23421=4142

## Answer This Question

## Related Questions

- MATH SETS AND COUNTING - There are a total of 103 foreign language students in ...
- math - There are a total of 152 foreign language students in a high school where...
- math - 107 total foreign language students 42 take spanish 46 take french 45 ...
- Math - Probabilities - There are a total of 116 foreign language students in a ...
- Math - There are a total of 103 foreign language students in a high school where...
- Math - There are a total of 103 foreign language students in a high school where...
- Math - At a school with 100 students, 35 take French, 32 take German, and 30 ...
- Math - An elementary school is offering 3 language classes: one in Spanish, one ...
- Math - 1/2 of class takes Spanish and 1/4 takes Chinese. 1/3 as many take French...
- Math - Draw a Venn diagram that represent a class of 32 students. All students ...

More Related Questions