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18) The probability that a number selected at random from 1 to 100 is a multiple of 5 or 6 a) 0.36 b) 0.33 c) 0.32 d) None of these?
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18) The probability that a number selected at random from 1 to 100 is ...
Probability of selecting a multiple of 5 or 6 from 1 to 100


To find the probability of selecting a multiple of 5 or 6 from 1 to 100, we need to first find the number of multiples of 5 or 6 in this range. We can then divide this number by the total number of integers in the range (which is 100).


Number of multiples of 5 in the range

The multiples of 5 in the range 1 to 100 are:

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100

So, there are 20 multiples of 5 in the range.


Number of multiples of 6 in the range

The multiples of 6 in the range 1 to 100 are:

6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96

So, there are 16 multiples of 6 in the range.


Number of multiples of both 5 and 6 in the range

The multiples of both 5 and 6 in the range 1 to 100 are:

30, 60, 90

So, there are 3 multiples of both 5 and 6 in the range.


Total number of multiples of 5 or 6 in the range

To find the total number of multiples of 5 or 6 in the range, we need to add the number of multiples of 5 and 6, and then subtract the number of multiples of both 5 and 6 (to avoid counting them twice).

Total number of multiples of 5 or 6 = (20 + 16) - 3 = 33


Probability of selecting a multiple of 5 or 6

Since there are 33 multiples of 5 or 6 in the range, and the total number of integers in the range is 100, the probability of selecting a multiple of 5 or 6 at random is:

33/100 = 0.33


Answer

Therefore, the answer is (b) 0.33.
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18) The probability that a number selected at random from 1 to 100 is a multiple of 5 or 6 a) 0.36 b) 0.33 c) 0.32 d) None of these?
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18) The probability that a number selected at random from 1 to 100 is a multiple of 5 or 6 a) 0.36 b) 0.33 c) 0.32 d) None of these? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about 18) The probability that a number selected at random from 1 to 100 is a multiple of 5 or 6 a) 0.36 b) 0.33 c) 0.32 d) None of these? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 18) The probability that a number selected at random from 1 to 100 is a multiple of 5 or 6 a) 0.36 b) 0.33 c) 0.32 d) None of these?.
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