Embibe Experts Solutions for Exercise 5: Assignment

The number $900$ is resolved into two factors, $x$ and $y$ the probability that the factors $x$ and $y$ are co-prime is

A coin is tossed thrice. Let events $A, B$ and $C$ be first coin shows heads, exactly two heads show and tails on $2^{\mathrm{nd}}$ and $3^{\mathrm{rd}}$ tosses respectively

If a grandfather along with his two grandsons and four granddaughters are to be seated in a line for a photograph so that he is always in the middle then the probability that his two grandsons are never adjacent to each other is

A real number $k$ is selected from the interval $\left[0,20\right]$, the probability that roots of the equation $x^2-kx+9=0$, will be real is greater than or equal to

A sample space consists of $3$ sample points with associated probabilities given as $2p,p^2,4p-1$, then

The letter forming the word "Clifton" are placed at random in a row. The probabilities that

$6$ married couples are standing in a room. If $4$ people are chosen at random, then the chance that exactly one married couple is among the $4$ is

Four cards are drawn at random from a pack of $52$ playing cards, one of them is King, other is Queen, third is Jack and fourth is Ace. If the probability is $\frac{K}{{}^{52}C_4}$ then $K$ is