$A$ bag contains $3$ red and $5$ black balls and a second bag contains $6$ red and $4$ black balls. $A$ ball is drawn from each bag. The probability that one is red and the other is black is:

There are four men and six women on the city council. If one council member is selected for a committee at random,what is the probability that the selected member is a woman (in $/5$)?

An anti-aircraft gun takes four shots at an enemy plane moving away from it. The probabilities of hitting the plane at the first,second,third,and fourth shots are $0.4, 0.3, 0.2$,and $0.1$ respectively. The probability that the gun hits the plane is:

Describe the sample space for the indicated experiment: $A$ coin is tossed four times.

The probabilities of two events $A$ and $B$ are $0.25$ and $0.50$ respectively. The probability of both $A$ and $B$ occurring simultaneously is $0.14$. What is the probability that neither $A$ nor $B$ occurs?

Two brothers $X$ and $Y$ appeared for an exam. Let $A$ be the event that $X$ has passed the exam and $B$ is the event that $Y$ has passed. The probability of $A$ is $\frac{1}{7}$ and of $B$ is $\frac{2}{9}$. Then,the probability that both of them pass the exam is