If $A$ and $B$ are two events such that $P(A \cup B) + P(A \cap B) = \frac{7}{8}$ and $P(A) = 2P(B)$, then $P(A) = $

What is the probability of drawing either a queen or a red card from a deck of $52$ cards?

Statement $- I :$ If the probabilities of solving a problem by $A$ and $B$ are $1/3$ and $1/4$ respectively,then the probability that the problem is solved is $7/12$.
Statement $- II :$ The events described above are independent events.

Given that the events $A$ and $B$ are such that $P(A) = \frac{1}{2}$,$P(A \cup B) = \frac{3}{5}$,and $P(B) = p$. Find $p$ if the events $A$ and $B$ are independent.

If a card is drawn at random from a pack of $52$ cards,the probability that the card is a king or a diamond is $..........$.

One card is drawn randomly from a pack of $52$ cards. The probability that it is a king or a spade is: