Given two independent events $A$ and $B$ such that $P(A) = 0.3$ and $P(B) = 0.6$,find $P(A \text{ and } B)$.

$A$ 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?

From a pack of $52$ cards,two are drawn with replacement. The probability that the first is a diamond and the second is a king is:

$A$ bag contains $10$ white and $15$ red balls. If two balls are drawn one after another,what is the probability that the first ball is red and the second ball is white?

If $A$ and $B$ are independent events and $P(A)=\frac{2}{3}$ and $P(B)=\frac{3}{5}$,then $P(A^{\prime} \cap B)$ is equal to:

$A$ pandemic has been spreading all over the world. The probabilities are $0.7$ that there will be a lockdown,$0.8$ that the pandemic is controlled in one month if there is a lockdown,and $0.3$ that it is controlled in one month if there is no lockdown. The probability that the pandemic will be controlled in one month is