Question

A school counts the number of students taking AMDM and find 225 students taking AMDM. They also count the number of students taking Physics and find 248 students taking the Physics. When they compare the two lists they find 98 student taking AMDM and Physics. What is the probability of a student taking AMDM given they are taking Physics. (Answer in decimal form rounded to the thousandth) ​

Answer 1

The probability of a student taking AMDM given they are taking Physics is 39.51%.

Since a school counts the number of students taking AMDM and find 225 students taking AMDM, and they also count the number of students taking Physics and find 248 students taking the Physics, and when they compare the two lists they find 98 student taking AMDM and Physics, to determine what is the probability of a student taking AMDM given they are taking Physics, the following cross multiplication calculation must be performed:

• 248 = 100
• 98 = X
• 98 x 100/248 = X
• 9800/248 = X
• 39.51 = X

Therefore, the probability of a student taking AMDM given they are taking Physics is 39.51%.

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