Question

A card is drawn from a pack of $52$ playing cards. Find the probability that the card drawn is a spade ace.

Answer 1

Step 1 Finding the favorable outcomes:

There are $52$ cards in a pack, each pack contains $4$ suits of $13$ cards each.

Each suit which is labeled as spades, clubs, diamonds and hearts contains of $1$ ace card each.

So, there will be $1$ ace of spade card in a pack.

The favorable outcomes is $1$ and total outcomes is $52$.

Step 2 Finding the probability that the card drawn is an ace of spade:

The formula for the probability is expressed as,

$Probability=\frac{Number of favorable outcomes}{Total number of outcomes}$

Substitute favorable number outcomes as $1$ and total number of outcomes as $52$.

$\therefore P\left(cardisaspadeace\right)=\frac{1}{52}$

Hence, the probability of drawing a card that is a spade ace from a pack of $52$ cards is $\frac{1}{52}$.