NCERT Exemplar Solutions
Class 10 - Mathematics - CHAPTER 13: Statistics and Probability - Exercise 13.1Question 21
Class 10 - Mathematics - CHAPTER 13: Statistics and Probability - Exercise 13.1
Question. 21
A card is drawn from a deck of 52 cards. Event \(E\): “card is not an ace of hearts”. The number of outcomes favourable to \(E\) is
(A)
4
(B)
13
(C)
48
(D)
51
Detailed Answer with Explanation:
Step 1: A deck of playing cards has 52 cards in total.
Step 2: Out of these 52 cards, there is exactly 1 card which is the "Ace of Hearts".
Step 3: Event \(E\) is that the card drawn is not the Ace of Hearts. This means we must count all the cards except that single Ace of Hearts.
Step 4: Number of total cards = 52. Number of cards removed (Ace of Hearts) = 1. So, number of favourable outcomes = \(52 - 1 = 51\).
Step 5: Therefore, there are 51 favourable outcomes for event \(E\).
Final Answer: Option D (51)