CBSE Class 10 Answered
An integer is chosen at random from 1 to 200. What is the probability that the integer chosen is divisible by 6 or 8?
Asked by Topperlearning User | 04 Apr, 2014, 10:59: AM
Expert Answer
Multiples of 6 are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, 120, 126, 132, 138, 144, 150, 156, 162, 168, 174, 180, 186, 192, 198.
Thus, no. of multiples of 6 = 33
Multiples of 8 are 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152, 160, 168, 176, 184, 192, 200.
Thus, no. of multiples of 8 = 25
Now, number of multiples of 6 and 8 are 24, 48, 72, 96, 120, 144, 168, 192
Thus, no. of multiples of 6 and 8 = 8
Now, number of multiples of 6 or 8 = 33 + 25 - 8 = 50
P (chosen integer is a multiple of 6 or 8) =
Answered by | 04 Apr, 2014, 12:59: PM
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