Embibe Experts Solutions for Chapter: Probability, Exercise 1: Exercise

A car dealer has the cars listed in the table below classified by type and colour.

If a car is selected at random, what is the probability that it is black knowing that it is a Van?

A car dealer has the cars listed in the table below classified by type and colour.

If a car is selected at random, what is the probability that it is black knowing that it is a Sports Car?

A car dealer has the cars listed in the table below classified by type and colour.

If a car is selected at random, what is the probability that it is blue knowing that it is a Coupe?

A car dealer has the cars listed in the table below classified by type and colour.

If a car is selected at random, what is the probability that it is blue knowing that it is a SUV?

A car dealer has the cars listed in the table below classified by type and colour.

If a car is selected at random, what is the probability that it is SUV knowing that it is white?

If $A \text{and} B$ are two independent events with $P\left(A\right)=\frac{1}{3}\text{ and }P\left(B\right)=\frac{1}{4}$, then $P\left(B^{\text{'}}\mid A\right)$ is equal to

The probability distribution of a random variable $\mathrm{X}$ is given by

$P(X=x)=\left\{\begin{array}{ll}3k^2& \text{ if }x=0\\ 5k^2+k& \text{ if }x=1\\ 7k^2+k& \text{ if }x=2\\ 0,& \text{ otherwise }\end{array}\right.$

Then

A coin is tossed $999$ times. If $X$ is the number of times head appeared, then $P\left(X=r\right)$ if maximum when $r=$