If a coin is tossed $n$ times,then the probability that the head comes up an odd number of times is

$A$ 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

In a collection of $10$ tickets,there are $2$ winning tickets. From this collection,$5$ tickets are drawn at random. Let $p_1$ and $p_2$ be the probabilities of obtaining $1$ and $2$ winning tickets,respectively. Then $p_1+p_2$ lies in the interval:

The probability that a randomly chosen one-one function from the set $\{a, b, c, d\}$ to the set $\{1, 2, 3, 4, 5\}$ satisfies $f(a) + 2f(b) - f(c) = f(d)$ is

Two cards are drawn from a pack of $52$ cards. What is the probability that one of them is a queen and the other is an ace?

From $3n$ consecutive integers, three integers are selected at random. The probability that their sum is divisible by $3$ is