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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 
$$(i)$$ what is the probability that drawn card is a queen ? 
$$(ii)$$ 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


Solution

Total cards$$=5$$
$$(i)$$Number of queens$$=1$$
$$\Rightarrow P\left(queen\right)=\dfrac{1}{5}$$
$$(ii)$$ If the queen is drawn and put aside, then remaining cards$$=5-1=4$$
$$(a)$$Number of aces$$=1$$
$$\Rightarrow P\left(ace\right)=\dfrac{1}{4}$$
$$(b)$$Number of queens$$=0$$
$$\Rightarrow P\left(queen\right)=0$$

Maths

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