In a group of 200 high school students, 36 are taking biology, 52 are taking Spanish, and 126 are taking neither biology nor Spanish. If one of these 200 students is to be chosen at random, what is the probability that the student chosen is taking biology but not Spanish?

If x are taking both biology and Spanish, then

36+52-x = 200-126
x = 14

So, 36-14=22 are taking biology but not Spanish.

That should get you started.

To calculate the probability, we need to determine the number of students taking biology but not Spanish and divide it by the total number of students.

To find out the number of students taking biology but not Spanish, we can subtract the number of students taking both biology and Spanish from the total number of students taking biology.

Step 1: Find the number of students taking both biology and Spanish. In this case, that would be 36.

Step 2: Subtract the number of students taking both biology and Spanish from the total number of students taking biology.
Number of students taking biology but not Spanish = 36 - 52 = -16

Since we can't have a negative number of students, it means there might be an error in the given information or the question itself. Please double-check the numbers provided or the question statement for accuracy.

Please let me know if there's anything else I can assist you with or if there's any further clarification needed.