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Question

A combination lock on a suitcase has 3 wheels each labelled with nine digits from 1 to 9. If an opening combination is a particular sequence of three digits with no repeats, what is the probability of a person guessing the right combination ?

A
2275
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B
1501
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C
1504
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D
None
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Solution

The correct option is C 1504
Let Ai,i=1,2,3 be the event that the digit on ith wheel occupies the correct position. Then,
Required probability = P(A1A2A3)
=P(A1)P(A2/A1)P(A3/A1A2)

=19×18×17=1504

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