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Omni-MATH / Almondine has a bag with N balls, each of which is red, white, or blue. If Almondine picks three balls from the bag without replacement, the probability that she picks one ball of …

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problem

Almondine has a bag with NN balls, each of which is red, white, or blue. If Almondine picks three balls from the bag without replacement, the probability that she picks one ball of each color is larger than 23 percent. Compute the largest possible value of ⌊N3⌋\left\lfloor\frac{N}{3}\right\rfloor.
Plain-text mathematical notation (without MathML)
Almondine has a bag with N balls, each of which is red, white, or blue. If Almondine picks three balls from the bag without replacement, the probability that she picks one ball of each color is larger than 23 percent. Compute the largest possible value of ⌊(N)/(3)⌋.
Original LaTeX notation
Almondine has a bag with $N$ balls, each of which is red, white, or blue. If Almondine picks three balls from the bag without replacement, the probability that she picks one ball of each color is larger than 23 percent. Compute the largest possible value of $\left\lfloor\frac{N}{3}\right\rfloor$.

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