A day full of math games & activities. Find one near you.

Determine the probability that the card is a king if the king, queen and jack of clubs are removed from a deck of 52 playing cards and then well shuffled. Now one card is drawn at random from the remaining cards

Solution:

Given, the king, queen and jack of clubs are removed from a deck of 52 playing cards and then well shuffled.

We have to determine the probability of drawing a king.

A deck of 52 playing cards has 13 cards of heart, 13 cards of diamond, 13 cards of spade and 13 cards of club.

King, queen and jack of clubs are removed.

So, remaining cards = 52 - 3 = 49

The probability of drawing a king is given by

There are 4 kings in a deck.

Given, king of club is removed.

Favourable outcomes = king of heart, king of diamond and king of spade.

Number of favourable outcomes = 3

Number of possible outcomes = 49

Probability = number of favourable outcomes / number of possible outcomes

Probability = 3/49

Therefore, the probability of drawing a king is 3/49

✦ Try This: The king, queen and jack of clubs are removed from a deck of 52 playing cards and then well shuffled. Now one card is drawn at random from the remaining cards. Determine the probability that the card is a 9 of heart.

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 14

NCERT Exemplar Class 10 Maths Exercise 13.3 Problem 28(ii)

Determine the probability that the card is a king if the king, queen and jack of clubs are removed from a deck of 52 playing cards and then well shuffled. Now one card is drawn at random from the remaining cards

Summary:

The king, queen and jack of clubs are removed from a deck of 52 playing cards and then well shuffled. Now one card is drawn at random from the remaining cards. The probability that the card is a king is 3/49

☛ Related Questions: