Moderate -0.8 This is a straightforward sequential probability question requiring only basic counting from a Venn diagram and multiplication of probabilities. Students must identify the relevant regions (History total and Geography-only), then apply P(A then B) = P(A) × P(B|A) with simple arithmetic. No complex reasoning or problem-solving insight needed.
1.
The Venn diagram shows the numbers of students studying various subjects, in a year group of 100 students.
\includegraphics[max width=\textwidth, alt={}, center]{a65400d1-fadc-4bc7-ba4b-af2df57e390a-04_551_894_395_169}
A student is chosen at random from the 100 students. Then another student is chosen from the remaining students.
Find the probability that the first student studies History and the second student studies Geography but not Psychology. [0pt]
1.
The Venn diagram shows the numbers of students studying various subjects, in a year group of 100 students.\\
\includegraphics[max width=\textwidth, alt={}, center]{a65400d1-fadc-4bc7-ba4b-af2df57e390a-04_551_894_395_169}
A student is chosen at random from the 100 students. Then another student is chosen from the remaining students.
Find the probability that the first student studies History and the second student studies Geography but not Psychology.\\[0pt]
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\hfill \mbox{\textit{SPS SPS FM Statistics 2024 Q1 [4]}}