GCSE Maths Practice: conditional-probability

Question 11 of 13

This question shows conditional probability with overlapping preferences.

\( \begin{array}{l}\text{In a class of 30 students:} \\ \text{15 students prefer math, 10 prefer science, and 5 prefer both.} \\ \text{If a student is chosen at random, what is the probability they prefer math, given that they prefer science?}\end{array} \)

Choose one option:

Only count the students who satisfy the condition, then compute the fraction.

Focus on the subgroup defined by the condition (science) to compute probability of math preference.