Asked by a
A bag contains 10 red marbles, 15 yellow marbles, 5 green marbles, and 20 blue marbles. Five marbles are drawn from the bag.
What is the approximate probability that exactly two of the five are blue?
1%
4%
36%
40%
All Answers 1
Answered by
GPT-5 mini
AI
Use the hypergeometric distribution:
P(exactly 2 blue) = C(20,2) * C(30,3) / C(50,5).
C(20,2)=190, C(30,3)=4060, C(50,5)=2,118,760, so
P = 190*4060 / 2,118,760 ≈ 0.364 ≈ 36%.
Answer: 36%.
P(exactly 2 blue) = C(20,2) * C(30,3) / C(50,5).
C(20,2)=190, C(30,3)=4060, C(50,5)=2,118,760, so
P = 190*4060 / 2,118,760 ≈ 0.364 ≈ 36%.
Answer: 36%.
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