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Cards numbered 1 to 30 are mixed and one is drawn. What is the probability that the number drawn is divisible by 2 but NOT by 3?

Class 10Probability Word ProblemsStatistics

A $\frac{1}{3}$
B $\frac{1}{2}$
C $\frac{2}{5}$
D $\frac{7}{15}$

Step-by-Step Solution

Even numbers = 15. Even AND divisible by 3 (i.e. divisible by 6): 6,12,18,24,30 = 5. Even but not by 3 = 15 - 5 = 10.

P = \frac{10}{30} = \frac{1}{3}

.

Answer: A)

\frac{1}{3}

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