$A$ 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:

An urn contains $10$ black and $5$ white balls. Two balls are drawn from the urn one after the other without replacement. What is the probability that both drawn balls are black?

If $A$ and $B$ are two independent events such that $P(A) = 0.40$ and $P(B) = 0.50$,find $P(\text{neither } A \text{ nor } B)$.

$A$ bag contains $19$ tickets numbered from $1$ to $19$. $A$ ticket is drawn and then another ticket is drawn without replacement. The probability that both the tickets will show an even number is:

$A$ bag contains $4$ red and $3$ black balls. $A$ second bag contains $2$ red and $3$ black balls. One bag is selected at random. If from the selected bag,one ball is drawn at random,then the probability that the ball drawn is red,is

$A$ 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.