Question

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

Answer 1

There are $26$ cards in a pack of cards.

There are $4$ queen cards out of which ,$2$ are red and $2$ are black cards.

The $2$ red queen cards are already included in the red cards.

Therefore,

Total number of queens and red cards $=26+4-2=28$ cards.

The remaining cards are $52-28=24$ cards

The event is of neither getting a red card, nor a queen.

Therefore, our event has $24$ favorable cards.

Probability=event/sample space

$\begin{array}{c}=\frac{24}{52}\\ =\frac{6}{13}\end{array}$

Then,

We get a red card nor a queen is $\frac{6}{13}$.