On random selection, the probability of getting a composite number among the numbers from 51 to 100. A) 4/5 B) 1/5
On random selection, the probability of getting a composite number among the numbers from 51 to 100.
A) 4/5
B) 1/5
C) 3/5
D) 2/5
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Correct option is: A) \(\frac{4}{5}\)
Total number of outcomes = 100 - 51 + 1 = 50.
Non - composite number from 51 to 100 are (53, 59, 61, 67, 71, 73, 79, 83, 89, 97).
\(\therefore\) Number of non-composite number from 51 to 100 is 10.
\(\therefore\) Number of composite number from 51 to 100 = 50 -10 = 40.
\(\therefore\) Probability of getting a composite number from 51 to 100
= \(\frac {Number\, of \,composite\, number \,from \,51 \,to \,100}{Total \, number \, from \, 51 \,to \,100}\) = \(\frac {40}{50} = \frac 45\)
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