A company manufactured a product through 4 units. A, B, C and D. The probability that a product is manufactured are $\frac{3}{10},\frac{1}{5},\frac{1}{10}$ and $\frac{2}{5}$ by units A, B, C and D respectively. The probability that it will be defective are $\frac{1}{4},\frac{1}{3}$ and $\frac{1}{12}$ if it is produced by A, B, C respectively and there is no defective from unit D. A product is chosen, it is found to be defective.

Match the LIST-I with LIST-II

LIST-I	LIST-II
A. The Probability that the defective product is from A	I. 4/9
B. The Probability that the defective product is from B	II. 0
C. Probability of defective product	III. 1/2
D. Probability that the defective product is from D	IV. 3/20

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An alphabet has been selected from English alphabets. What is the probability that it is a vowel given that it precedes 'M' ?

A random variable y has the following probability distribution

Match List-I with List-II

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The probability of not getting 53 Sundays in a leap year is

If A and B are two independent events such that P(A) = 1/3, $P(A\cup B) = 3/5$ and P(B) = p, then which of the following are true?

(A) The value of p is $\frac{2}{5}$

(B) $P(A\cap B) = \frac{2}{15}$

(C) $P(B/A) = \frac{1}{3}$

(D) $P(A/B) = \frac{3}{5}$

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A company manufactured fans with three units A, B and C. Unit A, B and C produces 2%, 10% and 14% defective fans respectively. Units A, B and C produces 40%, 40% and 20% fans of total products respectively. A fan is randomly chosen that is found to be defective then the probability that the chosen fan is produced from unit C, is

A die is tossed 6 times and getting "1 or 5" is considered a success. The probability of getting at least one success in six tosses is: