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The king, queen and jack of clubs are removed from a deck of 52 playing cards and the remaining cards are shuffled. A card is drawn from the remaining cards. Find the probability of getting a card of heart.
Given:
The king, queen and jack of clubs are removed from a deck of 52 playing cards and the remaining cards are shuffled. A card is drawn from the remaining cards.
To do:
We have to find the probability of getting a card of heart.
Solution:
A pack of cards contains 52 cards of four suits and two colours red and black.
Four suits are named as spades, hearts, diamonds, and clubs.
Each suit consists of one ace, one king, one queen, one jack and 9 other cards numbered from 2 to 10.
From a pack of 52 playing cards the king, queen and jack of clubs are removed.
This implies,
The total number of remaining cards $=52-3=49$
The total number of possible outcomes $n=49$.
Number of heart cards among the remaining cards $=13$
Total number of favourable outcomes $=13$.
We know that,
Probability of an event $=\frac{Number\ of\ favourable\ outcomes}{Total\ number\ of\ possible\ outcomes}$
Therefore,
Probability of getting a card of heart $=\frac{13}{49}$
The probability of getting a card of heart is $\frac{13}{49}$.
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