If two cards are drawn one after the other without replacement from a well-shuffled ordinary deck of $52$ cards, then the probability that both of them are aces is

If $A$ and $B$ are two independent events such that $P(A)=0.3$,$P(B)=x$ and $P(A \cup B)=0.44$,then $x=$

$A$ bag contains $3$ white and $2$ black balls and another bag contains $2$ white and $4$ black balls. $A$ bag is chosen at random and a ball is picked up from it. The probability of the ball being black is:

$A$ and $B$ are independent events. Their probabilities are $3/10$ and $2/5$ respectively. What is the probability that exactly one of the events occurs?

Three cards are drawn successively, without replacement from a pack of $52$ well-shuffled cards. The probability that the first two cards are kings and the third card drawn is an ace is $\dots \dots \dots$

$A$ person has undertaken a construction job. The probabilities are $0.65$ that there will be a strike,$0.80$ that the construction job will be completed on time if there is no strike,and $0.32$ that the construction job will be completed on time if there is a strike. Determine the probability that the construction job will be completed on time.