an integer is chosen at random between 1 and 100. find the probability that it is : (i) divisible by 8.
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As the integer is chosen between 1 and 100, the total no. of outcomes is 100.
Now we have to find the no. of multiples of 8 between 1 and 100.
Divide 100 by 8 and identify the quotient. The quotient is 12.
From this, we get that there are 12 numbers which are divisible by 8 between 1 and 100, don't we?
Thus the no. of favourable outcomes is 12.
∴ Probability = 12/100 = 3/25.
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