Addition Theorem

Q. The probability that a given positive integer lying between 1 and 100 (both inclusive) is NOT divisible by 2, 3 or 5 is

1. 0.26

Q. X and Y are two random independent events. It is known that P(X) = 0.40 and $P(X\cup Y^C)=\mathrm{0.7.}$ Which one of the following is the value of $P(X\cup Y)?$

1. 0.7
2. 0.5
3. 0.4
4. 0.3

Q. From a pack of regular playing cards, two cards are drawn at random. What is the probability that both cards will be Kings, if first card is NOT replaced?

1. $\frac{1}{26}$
2. $\frac{1}{52}$
3. $\frac{1}{169}$
4. $\frac{1}{221}$