RD Sharma Solutions Class 10 Mathematics Solutions for Probability Exercise 13.1 in Chapter 13 - Probability

Question 17 Probability Exercise 13.1

A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is neither a heart nor a king.

Solution:

The mathematical term describing the possibility that something will happen is "probability. It is the capacity to comprehend and measure the likelihood of various combinations of outcomes.

Given: A card is drawn at random from a pack of 52 cards

Required to Find: Probability of the following

Total number of cards in a pack = 52

Total number of heart cards are 13 and king are 4 in which king of heart is also included.

So, the total number of cards that are a heart and a king = 13 + 3 = 16

Hence, the total number of cards that are neither a heart nor a king = 52 – 16 = 36

We know that, Probability = Number of favourable outcomes/ Total number of outcomes

Thus, the probability of getting cards neither a heart nor a king = 36/52 = 9/13

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