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STAT Question 1.We have 3 distinct balls (indexed Ball 1, Ball 2, Ball 3) and 3...

STAT Question

1.We have 3 distinct balls (indexed Ball 1, Ball 2, Ball 3) and 3 distinct boxes (indexed Box 1, Box 2 and Box 3). Now randomly assign each ball (independently of other balls) into one of the boxes.
Fully simplify your final answer to each question into a fraction or decimal.

  1. Calculate the probability that no box is empty.
  2. Calculate the probability that no box is empty.

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