In a musical chair game, the person playing the music has been advised to stop playing the music at any time within 1.5 minutes after he starts playing. What is the probability that the music will stop within the first 15 seconds after starting?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 1/6
Step 1: Convert time to the same unit
- Total possible time = 1.5 minutes = $1.5 \times 60 = 90$ seconds
- Desired time = first 15 seconds
Step 2: Probability formula
$P(\text{event}) = \frac{\text{favorable time}}{\text{total time}}$
$P = \frac{15}{90} = \frac{1}{6}$