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Consider an urn. That’s right, an urn. Inside are—you guessed it—different kinds of balls. There are...

Consider an urn. That’s right, an urn. Inside are—you guessed it—different kinds of balls. There are 4 pink balls, 6 purple balls, and 5 balls with Knachel’s face painted on them. If you draw balls from the urn three times, replacing each after it’s drawn, what’s the probability that you’ll get 3 straight Knachels?

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Answer #1

An urn contains 4 pink balls, 6 purple balls and 5 balls with knachel's face painted on them.

Therefore, total number of balls in the urn = 15

3 balls are drawn from the urn with replacement.

The probability of getting 3 straight knachels is

P(3 knachels) = P(getting knachels in all 3 draws)

                       = (5 / 15) * (5 / 15) * (5 / 15)

                       = (1 / 3)3

                       = 0.037

Therefore, the probability that you'll get 3 straight knachels is 0.037

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