Sam can hit a target 1 time in 4 shots, Jack can hit the target 2 times in 4 shots and Raj can hit the target 6 times in 6 shots. What is the probability that at least 2 shots hit the target?
Sam can hit a target 1 time in 4 shots, Jack can hit the target 2 times in 4 shots and Raj can hit the target 6 times in 6 shots. What is the probability that at least 2 shots hit the target?
Solution
✅ Correct Option: 3
| Person | Given | Hits | Misses |
|---|---|---|---|
| Sam | 1 in 4 shots | ||
| Jack | 2 in 4 shots | ||
| Raj | 6 in 6 shots |
Raj never misses, so one hit is already guaranteed. To get at least 2 hits we only need at least one hit from Sam or Jack.
It is quicker to find the opposite case, where both of them miss.