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# Probability

1. A cube has all 6 sides painted blue; this cube is then cut into 64 equal cubes. What is the probability, Pn where n = 1, 2, 3, that a little cube (one of the 64) picked at random will have n painted faces?

2. A person is given 4 coins each with equal and independent probabilities of being a nickel , a penny, a dime or a quarter. What is the probability the person has been 37 cents

Please give a complete answer with explanations.

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1. A cube has all 6 sides painted blue; this cube is then cut into 64 equal cubes. What is the probability, Pn where n = 1, 2, 3, that a little cube (one of the 64) picked at random will have n painted faces?

When n = 1, that is how many cubes have exactly 1 blue faces?

The cubes labeled above have 1 face painted blue. On each of the original surface, there are 4 little cubes with 1 painted face. There are 6 surfaces for the ...

#### Solution Summary

Probability problems are solved. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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