Question

A child has nine cards numbered 1 through 9. The child places three cards in a row to form a three-digit number. Find the probability that the number is larger than 800. (Round your answer to three decimal places.)

Answer #1

**Answer: 0.222**

**Explanation:**

The numerator of the probability is the number of ways a child can succeed in picking a number greater than 800 There are 2 ways a child can pick the first digit as 8 or 9 That leaves 8 ways the child pick the second digit. That leaves 7 ways the child can pick the third digit. So there are 2·8·7 = 112 ways the child can pick a number larger than 800. The denominator of the probability is the number of ways the child can pick any number whether smaller or larger than 800. There are 9 way the child can pick the first digit. That leaves 8 ways the child can pick the second digit. That leaves 7 ways the child can pick the third digit. So there are 9·8·7 ways = 504 ways to pick any number smaller or greater than 800 So the probability of picking a number greater than 800 is given as

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