Question

Five cards the ten , jack , queen , king and ace of diamonds are well shuffled with their faces downwards, $1$ card is then picked up at random

$\left(i\right)$ what is the probability that drawn card is a queen ?

$\left(ii\right)$ If the queen is drawn and put aside and a second card is drawn. find the probability that the second card is an ace , a queen ? explain

Answer 1

Total cards$=5$

$\left(i\right)$Number of queens$=1$

$\Rightarrow P\left(queen\right)=\frac{1}{5}$

$\left(ii\right)$ If the queen is drawn and put aside, then remaining cards$=5-1=4$

$\left(a\right)$Number of aces$=1$

$\Rightarrow P\left(ace\right)=\frac{1}{4}$

$\left(b\right)$Number of queens$=0$

$\Rightarrow P\left(queen\right)=0$