What is the probability that P and Q take the two end positions?
Consider the following for the next five (05) items that follow: Three boys P, Q, R and three girls S, T, U are to be arranged in a row for a group photograph.
- A. \frac{1}{15} ✓
- B. \frac{7}{15}
- C. \frac{14}{15}
- D. \frac{11}{45}
Correct Answer: A. \frac{1}{15}
Explanation
P and Q can occupy the two end positions in 2! = 2 ways. The remaining 4 individuals can be arranged in the middle 4 seats in 4! = 24 ways. Total favorable outcomes = 2 \times 24 = 48. The probability is \frac{48}{720} = \frac{1}{15}.
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