Question

The amount of time it takes Hugo to solve a Rubik's cube is continuous and uniformly distributed between 4 minutes and 11 minutes. What is the probability that it takes Hugo less than 5 minutes given that it takes less than 6 minutes for him to solve a Rubik's cube?

Answer 1

The probability that it takes Hugo less than 5 minutes is 25%.

Probability

Given that the amount of time it takes Hugo to solve a Rubik's cube is continuous and uniformly distributed between 4 minutes and 11 minutes, to determine what is the probability that it takes Hugo less than 5 minutes given that it takes less than 6 minutes for him to solve a Rubik's cube, the following calculation must be performed:

• 100 / 8 = 12.5
• 12.5 x 2 = 25

Therefore, the probability that it takes Hugo less than 5 minutes is 25%.

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