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Question
What is the probability that a number selected from numbers 1, 2, 3, ......, 30, is prime number, when each of the given numbers is equally likely to be selected?
Options:
A .  $$\frac{{9}}{{30}}$$
B .  $$\frac{{8}}{{30}}$$
C .  $$\frac{{10}}{{30}}$$
D .  $$\frac{{11}}{{30}}$$
Answer: Option C
X = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29}
n(X) = 10, n(S) = 30
Hence required probability,
$$\eqalign{
& = \frac{{n(X)}}{{n(S)}} \cr
& = \frac{{10}}{{30}} \cr} $$

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