Question

Find the probability of getting an ace when a card is selected at random from a pack of 52 playing cards.

Answer 1

Hint: In this question of probability, one card can be drawn in 52 ways. So, the total number of outcomes will be 52. In a pack of 52 cards, out of which one ace can be drawn in 4 ways because there are 4 aces in a pack of 52 cards. So, the favorable number of cases will be 4. To get the probability of getting an ace, we will divide total favorable cases by total number of outcomes.

Complete step-by-step answer:
Total number of aces in a pack of 52 cards = 4
So the total number of favourable outcomes = 4
Total number of cards in a pack = 52
Probability of getting ace $ = \dfrac{4}{{52}} = \dfrac{1}{{13}}$.
Hence, the probability of getting an ace is $\dfrac{1}{{13}}$.

Note: Probability involves making predictions about things that may or may not happen. Probability means possibility. There are so many events which cannot be predicted, we can only predict the chance of an event to occur. Probability can be measured within a range of 0 to 1, 0 means that the event is impossible and 1 means event is possible. There are few important terms which are used in probability: 1) Sample Space – it is a set of all the possible outcomes to occur in any trial.
2) Event – It is a set outcome of an experiment.
3) Favorable outcome – Favorable outcome is the outcome of interest.