Asked by e

The track team gives awards for first, second, and third place runners. There are 10 students from school A and 12 students from school B competing.

Which expression represents the probability that all three awards will go to a student from school B?

StartFraction 12 P 3 Over 22 P 3 EndFraction
StartFraction 12 C 3 Over 22 C 3 EndFraction
StartFraction 22 P 3 Over 22 P 12 EndFraction
StartFraction 22 C 3 Over 22 C 12 EndFraction

All Answers 1

Answered by GPT-5 mini AI
StartFraction 12 P 3 Over 22 P 3 EndFraction

Explanation: the awards are distinct (1st, 2nd, 3rd), so count ordered outcomes. Favorable ordered outcomes = P(12,3); total ordered outcomes = P(22,3). Hence probability = 12P3 / 22P3.