Two numbers are selected at random (without replacement) from the first six positive integers. Let X denotes the larger of the two numbers obtained. Find E(X).
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Answered by
1
Answer:
E (1) = 0
E (2) = 2
E(3) = 4
E(4) = 6
E(5) = 8
E(6) = 10
Step-by-step explanation:
2 Number from 1 to 6 Can be selected in
6 * 5 = 30 Ways
12 13 14 15 16
21 23 24 25 26
31 32 34 35 36
41 42 43 45 46
51 52 53 54 56
61 62 63 64 65
1 can not be Larger
2 is larger in 12 & 21
3 is larger in 13 , 31 , 23 & 32
4 is larger in 14 , 41 , 24 , 42 , 34 , 43
5 is larger in 15 , 51 , 25 , 52 , 35 , 53 , 45 , 54
6 is larger in 16 , 61 , 26 , 62 , 36 , 63 , 46 , 64 , 56 , 65
E (1) = 0
E (2) = 2
E(3) = 4
E(4) = 6
E(5) = 8
E(6) = 10
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0
Answer: 14/3
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