Embibe Experts Solutions for Chapter: Probability, Exercise 1: KEAM 2019

Two dice are thrown together. If both numbers appearing are different, then what is the probability that their sum is $5?$

In a pack of playing cards, $4$ are missing. The probability that the missing cards are one from each suit is

Ram and Shyam throw a dice. The probability that Ram's throw is not greater than shyam's is

A class consists of $80$ students, $25$ of them are girls and $55$ are boys. If $10$ of them are rich and rest poor and also $20$ are intelligent, probability of choosing poor not intelligent boy is

$P\left(A\right)=\frac{4}{5},P\left(B^{\text{'}}\right)=\frac{2}{5}$ and $P(A\cap B)=\frac{1}{2},$ then $P\left(A\cap B^{\text{'}}\right)$ equals.

An integer is chosen at random from the numbers $1,2\dots \dots .25.$ The probability that it is divisible by $3$ or $4$ is

A man speaks truth $3$ out of $4$ times. He throws a dice and reports that it is $3.$ Probability that it is actually $3$ is

The probability that a ball will hit a target is $\frac{1}{5}.$ Then the probability that the target is hit atleast once in $10$ shots is