Find the probability that an integer chosen at random from the first 200 positive integers is divisible by 6 or 8
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the first 200 positive integer starts from 1,2......200
the first positive integer divisible by 6 is on the AP
6,12,18.....198
therefore an = 198
a+(n-1)=198
simplifying, we get n=33.
P(E)=33/200
Similarly,the positive integers between 1 and 200 divisible by 8 is in the AP
8,16,24.....200
therefore an = 200
a+(n-1)d =200
simplifying,we get n=25.
P(E)=25/200=1/8
the first positive integer divisible by 6 is on the AP
6,12,18.....198
therefore an = 198
a+(n-1)=198
simplifying, we get n=33.
P(E)=33/200
Similarly,the positive integers between 1 and 200 divisible by 8 is in the AP
8,16,24.....200
therefore an = 200
a+(n-1)d =200
simplifying,we get n=25.
P(E)=25/200=1/8
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