An integey is chosen at random
from I to 1oo. What is the
probability that the number
is not divisible by 7?
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Number of integers between 0 and 100=99
Number of possible outcomes =99
Let E be the event of getting an integer divisible by 7.
Outcomes favourable to E are 7,14,21,28,35,42,49,56,63,70,77,84,91,98
Number of favourable outcomes =14
Let E
1
be the event of getting an integer not divisible by 7.
Number of favourable outcomes =99−14=85
P(E
1
)=
Numberofpossibleoutcomes
Numberoffavourableoutcomes
P(E
1
)=85/99
Hence the probability of getting an integer not divisible by 7 is 85/99.
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