Stage 9 - Q5 - 3 marks
19961
Use the independent-event tree to find \(P(\text{exactly one of A and B})\).
\(\frac{4}{5}\)
\(\frac{1}{5}\)
A
not A
\(\frac{4}{7}\)
\(\frac{3}{7}\)
\(\frac{4}{7}\)
\(\frac{3}{7}\)
A, B
A, not B
not A, B
neither
Hint
Multiply along a path; add only the separate paths you need.