An integer is chosen at random from 1 to 200. What is the probability that the integer chosen is divisible by 6 or 8?
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) =
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