Question

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?

Answer 1

Answer: Probability that all three awards will go to a student from School B is  $\frac{1}{7}$

Step-by-step explanation:

Since we have given that

Number of students from school A = 10

Number of students from school B = 12

Number of awards = 3

So, we will need to find the probability that all three awards will go to a student from school B which is given by

$P=\frac{^{12}C_3}{^{22}C_3}\\\\P=\frac{12\times 11\times 10}{22\times 21\times 20}\\\\P=\frac{3}{21}$

Hence, Probability that all three awards will go to a student from School B is

$\frac{3}{21}=\frac{1}{7}$

Answer 2

Answer:

The correct answer is A

Step-by-step explanation:

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