Question

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 a king.

Answer 1

Hint: In this question, first we calculate the total number of cards after removing king, queen and jack of clubs from a deck of 52 playing cards. Then, the total number of cards left is 49. Now, we have to find the total number of cards of the king. After applying the formula of probability, we can easily calculate our answer.

Complete step-by-step answer:
Probability means possibility of an event. It is a branch of mathematics that deals with the occurrence of a random event. The probability of every event is between zero and one. Probability has been introduced in Math’s to predict how likely events are to happen.
The total number of cards in a deck = 52.
After removing the king, queen and jack of clubs, the remaining number of cards = 49.
Remaining number of kings = 3.
The number of favourable outcomes is 3 because there are three kings in the deck of 52 playing cards after removing one king.
Total number of outcomes = 49.
 P (getting the event)$=\dfrac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}$
P (getting a king) $=\dfrac{3}{49}$.
Hence, the probability of getting a king after removing one king, one queen and jack of the club is $\dfrac{3}{49}$.

Note: The key concept involved in solving this problem is the knowledge of probability of occurrence of an event. Students must be careful while calculating the favourable outcomes after removing some of the cards to avoid any error.