CBSE Class 10 Maths Sample Question Paper 2019 | Q10

2 Mark Question | Probability - Pack of cards

This 2019 CBSE class 10 Maths sample question paper 2 mark question is from Probability. Knowledge about different types of cards in a pack of cards is essential to solve this question.

Question 10: A card is drawn at random from a well shuffled deck of 52 cards. Find the probability of getting neither a red card nor a queen.


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Explanatory Answer | 2019 Sample Question Paper Q10

Let us first find the probability of getting a red card or a queen.
There are 26 red cards and 4 queens in a deck of 52 cards.

Out of the 4 queens 2 are red and 2 are black.
Therefore, the required cards are: 26 red cards + 2 black queens = 28 cards.
Probability of getting a red card or a queen = \\frac{28}{52})

Probability of getting a card that is neither a red card nor a queen = 1 - \\frac{28}{52}) = \\frac{24}{52}) = \\frac{6}{13})

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