Embibe Experts Solutions for Chapter: Probability, Exercise 1: TS EAMCET - 5 August 2021 Shift 1

If a proper divisor of the integer $2520$ is selected at random, then the probability that it is an odd number is

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

Each of the two boxes $P$ and $Q$ contain $100$ chits numbered from $1$ to $100.$ If one chit is drawn at random from each box, then the probability that the number on the chit drawn from $P$ is square of the number on the chit drawn from $Q,$ is

A problem in Algebra is given to two students $A$ and $B$ whose chances of solving it are $\frac{2}{5}$ and $\frac{3}{4}$ respectively. The probability that the problem is solved, if both of them try independently, is

The probability distribution of a random variable $X$ is given below.

If $\mathrm{P}(X=x)=5r^x, x=1, 2, 3\dots$ is the probability density function of a discrete random variable $X,$ then $r=$

A die is rolled $5$ times. Getting an odd number in one trail is considered as a success. The variance of the distribution of successes is

Face masks are supplied to a junior college in packets of $100.$ If there is a chance that $1$ in $500$ face mask is defective, then the number of packets containing no defective face masks in a consignment of $10,000$ packets, is