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What is the probability that two cards drawn from a deck are both aces?

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1. Two cards are drawn at random from an ordinary deck of playing cards. The first is not replaced before the second is drawn. What is the probability that:
a. Both cards are aces?
b. At least one card is black?

2. Using the following sample: 28, 30, 24, 30, 32, 40, 22, 25, 26, 34
a. Find the mean.
b. Find the median.
c. Find the mode.
d. Find the standard deviation.
e. Find the z-score for 30. (Assuming a normal distribution)
f. Find the range.

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Solution Summary

This solution shows how to calculate the probabilities, the mean, median, mode, standard deviation, the z-score and the range.

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