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 | 4th 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  | 4th Apr, 2014, 12:59: PM

Queries asked on Sunday & after 7pm from Monday to Saturday will be answered after 12pm the next working day.