# elementry math

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A box contains three black balls and two gold balls. A ball is selected at random, its color is recorded, and it is then replaced. A second ball is then selected at random and its color recorded. The outcome associated with this type of selection is an ordered pair (first draw, second draw).

a. List a sample space for this experiment.

b. What is the probability that both balls are black?

c. What is the probability that both balls are gold?

d. Why doesnâ€™t the sum of the probabilities in parts (b) and (c) total 1?

• elementry math - ,

I'm not sure what you mean by sample space.

However, the probability of a gold ball is 2/5 and the probability of a black ball is 3/5.

The probability of two or more events both occurring is found by multiplying the individual probabilities.

They don't total 1, because they don't include the probability of drawing black-gold or gold-black combinations.

I hope this helps.

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