If $A$ and $B$ are mutually exclusive events,then the value of $P(A \text{ or } B)$ is

$A$ 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

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

$2$ dice are thrown. Find the probability of getting a sum greater than $10$.

$A$ problem of mathematics is given to three students whose chances of solving the problem are $\frac{1}{3}$,$\frac{1}{4}$,and $\frac{1}{5}$ respectively. The probability that the question will be solved is

$2$ persons $A$ and $B$ throw a die alternately until $1$ of them gets a '$6$' and wins the game. Find the probability of $B$ winning.