Question

A card is drawn at random from a well shuffled pack of $52$ playing cards. Find the probability of getting neither a red card nor a queen.

Answer 1

There are $26$ red cards in a deck of $52$ cards.

Number of queens in a deck $=4$ cards.

In which, $2$ queens are black and $2$ are red.

Now, number of card which are neither red nor queen $=52–(26+2)=24.$

Therefore, probability of getting a red card nor a queen = $\frac{24}{52}=\frac{6}{13}.$