QUESTION 5 A company assigns key cards to its employees with a four-digit PIN. E

Question

QUESTION 5 A company assigns key cards to its employees with a four-digit PIN. Each digit is assigned completely randomly from the digits 0-9. The only restriction s that there are at least two distinct digits among the four. For eample, indicates the sample space? Note that ellipses, "..., indicate left-out outcomes (necessary for space reasons) that continue a pattern. a PIN of 5555 is not acceptable, but a PIN of 5551 is), Which of the following O s (1.23,4,5,6,7,8,9,0 OS (0001,0002, .., 0009, 0010, 0011,..,0099, 0100, 0101, , ,0999, 1000,. .9998) S (0001,0002,...0009) S (1111,2222,3333.,...9999 OS-(0000001,000, . 998999) OS (0001, 0003, 0005 , , 0011,., 009,0101,0103,..092 1001, 999, 10001)

Explanation / Answer

The events are four digit pins which can have any combination except 0000, 1111, 2222 ...... 9999.

The sample space is

S = {0001, 0002..... 0009, 0010, 0011...... 0099, 0100, 0101.....0099, 1000, 1001......, 1110, 1112, ......, 9998}

Note : None of the answers are correctly given. The nearest is the second one.

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