$A$ bag contains $8$ red and $7$ black balls. Two balls are drawn at random. The probability that both the balls are of the same colour is

If $3$ dice are thrown,the probability of getting $10$ as the sum of the three numbers that appeared on the top faces of the dice is

Two persons $A$ and $B$ take turns in throwing a pair of dice. The first person to throw a sum of $9$ with both dice will be awarded the prize. If $A$ throws first,then the probability that $B$ wins the game is

The probability of getting a king and a spade card when two cards are drawn simultaneously from a pack of $52$ playing cards is

Out of $40$ consecutive natural numbers,two are chosen at random. The probability that the sum of the numbers is odd is:

If $6$ boys and $3$ girls are to be seated on $9$ chairs for a photograph,then the probability that the end seats are occupied by the girls and no two girls are side by side is