HKIMO 2026 THPT (Grades 10–12 shared) National Preliminary Set 03 Question 25

Question 25

Four cards are numbered 1 to 4. Amy and Betty alternate drawing a card. On drawing a number from 2 to 3, they return it and shuffle. The first to draw 1 wins. Amy starts. Find the probability that Betty wins.

$\frac38$
$\frac14$
$\frac37$
$\frac3{16}$