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We are to distribute 10 colored balls into five containers. Do the following: 1. Compute the probability...

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Basic Math

We are to distribute 10 colored balls into five containers. Dothe following:

1. Compute the probability of having at least one ball in eachbucket if the balls are all different and the buckets are alllabeled differently.

2. Compute the probability of having at least one ball in eachbucket if the balls are all different and the buckets are allgray.

3. Compute the probability of having at least one ball in eachbucket if the balls are gray and the buckets are all labeleddifferently.

4. Which one gives the most likelihood?

Answer & Explanation Solved by verified expert
3.8 Ratings (324 Votes)
We have 10 different balls and 5 buckets Using the definition of permutation the balls can be arranged in 10P5 ways 30240 ways i Each of the bucket can be chosen in 5C1 ways5 ways    See Answer
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