5 different numbers from 1 to 69 are selected. The order they're selected doesn't matter. Let X be the number of sets of two consecutive numbers in the 5 selected numbers. The minimum of X is 0 and the maximum of X is 4. For example, X = 1 for 4 - 6-18-19-60 X = 2 for both 5-12-13-47-48 and 5-12-13-14-48. What is the expected value of X?

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5 different numbers from 1 to 69 are selected. The order they're selected doesn't matter.
Let X be the number of sets of two consecutive numbers in the 5 selected numbers.
The minimum of X is 0 and the maximum of X is 4.
For example,
X = 1 for 4 - 6 – 18 – 19 - 60
X = 2 for both 5 - 12 - 13 - 47 - 48 and 5 – 12 - 13 - 14 – 48.
What is the expected value of X?
Transcribed Image Text:5 different numbers from 1 to 69 are selected. The order they're selected doesn't matter. Let X be the number of sets of two consecutive numbers in the 5 selected numbers. The minimum of X is 0 and the maximum of X is 4. For example, X = 1 for 4 - 6 – 18 – 19 - 60 X = 2 for both 5 - 12 - 13 - 47 - 48 and 5 – 12 - 13 - 14 – 48. What is the expected value of X?
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