Moderate -0.3 This is a straightforward conditional probability question requiring identification of relevant regions from a Venn diagram and application of the multiplication rule for dependent events. It involves basic counting and probability calculations with no conceptual complexity beyond standard A-level content, making it slightly easier than average.
The Venn diagram shows the numbers of students studying various subjects, in a year group of 100 students.
\includegraphics{figure_7}
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. [4]
The Venn diagram shows the numbers of students studying various subjects, in a year group of 100 students.
\includegraphics{figure_7}
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. [4]
\hfill \mbox{\textit{SPS SPS SM Statistics 2024 Q7 [4]}}