An integer is chosen at random between 1 and 100. Find the probability that it is: |
(i) divisible by 8. |
(ii) not divisible by 8. |
Answer:
Total numbers are 2, 3, 4, ........., 99 (i) Let E be the event of getting a number divisible by 8. \[E=\{8,16,24,32,40,48,56,64,72,80,88,96\}\] \[=12\] \[P(E)=\frac{Favourable\,\,outcomes}{Total\,\,outcomes}\] \[=\frac{12}{98}=0.1224\] (ii) Let E? be the event of getting a number not divisible by 8. Then, \[P(E)=1-P(E)\] \[=\text{ }1-0.1224\] \[=0.8756\]
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