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Question

There are 100 boards in a box on which the number 1 to 100 are written. If one board is selected randomly from a box then find the probability of:
(1) The number on the board is two digit.
(2) The number on the board is a multiple of 7.
(3) The number on the board is four digit.

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Solution

Total number of outcomes=100
1)
The number of two digit numbers in 1 to 100=98 (all numbers except 1 and 100)
Probability that the number on board is two digit=Number of two digits numbers in 1 to 100Total number of outcomes=98100=4950

2)
The number of multiples of 7 in 1 to 100=14 (7,14,21,28,35,42,49,56,63,70,77,84,91,98)
Probability that the number on board is two digit=Number of multiples of 7 in 1 to 100Total number of outcomes=14100=750

3)
The number of 4-digit numbers=0
Probability that the number on board is four digit=Number of 4-digit numbers in 1 to 100Total number of outcomes=0100=0

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