Question 1096848: n a lottery game, a single ball is drawn at random from a container that contains 25 identical balls numbered from 1 through 25 find the probability that the number drawn is a multiple of 11 or a multiple of 4
Answer by jim_thompson5910(35256) (Show Source):
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Multiples of 11 = {11, 22} we stop here at 22 since any larger multiple is going to be over 25
Multiples of 4 = {4, 8, 12, 16, 20, 24}
Combine the two sets and we get {4, 8, 11, 12, 16 20, 22, 24} which is composed of 8 values. This is out of 25 values.
The probability as a fraction is therefore 8/25
Using a calculator, 8/25 = 0.32 which converts to 32%
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