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

Question 15 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 red card nor a queen.

Answer:

Solution:

The likelihood of an event happening is measured by probability. Many things are difficult to completely predict in advance. Using it, we can only forecast the probability, or likelihood, of an event occurring.

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

It’s known that the total number of red cards is 26.

Total number of queens are 4 in which 2 red queens are also included

Hence, total number of red cards or queen will be 26 + 2 = 28

So, the total number of cards that are neither a red nor a queen= 52 -28 = 24

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

Thus, the probability of getting neither a red card nor a queen = 24/52 = 6/13

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