# What is the probability that the card is 10 of hearts 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 10 of hearts.

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 10 of hearts is given by

There are 13 cards of heart.

Only one 10 of heart in 13 cards of heart.

Number of favourable outcomes = 1

Number of possible outcomes = 49

Probability = number of favourable outcomes / number of possible outcomes

Probability = 1/49

Therefore, the probability of drawing a 10 of hearts is 1/49

**✦ 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 8 of spade.

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

**NCERT Exemplar Class 10 Maths Exercise 13.3 Problem 29(ii)**

## What is the probability that the card is 10 of hearts 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 10 of hearts is 1/49

**☛ Related Questions:**

- Find the probability that the card has a value 7 if all the jacks, queens and kings are removed from . . . .
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