Multiple choice general knowledge math & puzzles

A can hit a target 6 times in 7 shots. B can hit the target 4 times in 5 shots, C can hit 3 times in 4 shots. What is the chance that the target is damaged by exactly 2 shots?

  1. 40/140

  2. 54/140

  3. 50/140

  4. 44/140

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Probability of exactly 2 hits: sum of three cases where exactly one person misses. (6/7×4/5×1/4) + (6/7×1/5×3/4) + (1/7×4/5×3/4) = 54/140.