When a dice is rolled the probability of getting a composite number is A) 1/3 B) 1/4 C) 1/2 D) 1/6
When a dice is rolled the probability of getting a composite number is
A) 1/3
B) 1/4
C) 1/2
D) 1/6
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Correct option is: A) \(\frac{1}{3}\)
When a dice is rolled, then possible outcomes are
{1, 2, 3, 4, 5, 6}
Total No of outcomes is n (S) = 6
Composite numbers from 1 to 6 are {4, 6}
Total No of composite numbers from 1 to 6 is 2
\(\therefore\) Probability of getting a composite number
= \(\frac {Total \,No\, of \,composite \,number}{Total \, No \, of\, Possible \, outcomes}\)
= \(\frac 26 = \frac 13\)
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