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# A card is drawn from a deck of 52 cards. The event E is that card is not an ace of hearts. The number of outcomes favourable to E is

a. 4

b. 13

c. 48

d. 51

**Solution:**

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

It is given that

Number of cards in a deck = 52

The event E is that card is not an ace of hearts

We have to find the number of outcomes favourable to E

We know that

There are 13 cards of heart and 1 ace of heart

Here the number of outcomes favourable to E = 52 - 1 = 51

Therefore, the number of outcomes favourable to E is 51.

**✦ Try This: **A card is drawn from a deck of 52 cards. The event E is that card is an ace of hearts. The number of outcomes favourable to E is

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

**NCERT Exemplar Class 10 Maths Exercise 13.1**** Problem 21**

## A card is drawn from a deck of 52 cards. The event E is that card is not an ace of hearts. The number of outcomes favourable to E is a. 4, b. 13, c. 48, d. 51

**Summary:**

A card is drawn from a deck of 52 cards. The event E is that card is not an ace of hearts. The number of outcomes favourable to E is 51

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