Olympiad Maths Prep

Track / Stage 5 / 6 of 400 #606 of 2000

Problem 606

AIME late
Combinatorics Difficulty 5.0 Find the answer

9. In a class of 10 students, 6 are excellent students. From the list, 7 students are randomly selected. Find the probability that among the selected students, there will be exactly 4 excellent students.

Official solution

9. In a class of 10 students, 6 are excellent students. From the list, 7 students are randomly selected. Find the probability that exactly 4 of the selected students will be excellent students.

Answer: 0.5

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