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A card is drawn at random from a well-shuffled pack of 52 cards. What is the probability that the card bears a number greater than 3 and less than 10?
CBSE | Class 11 | Exercise 31A | Maths | Probability Distribution | RS Aggarwal
A card is drawn at random from a well-shuffled pack of 52 cards. What is the probability that the card bears a number greater than 3 and less than 10?

Answer : We know that,

Probability of occurrence of an event


Desired output is a number greater than 3 and less than 10.Total no.of outcomes are 52

There will be four sets of each card naming A, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K. So, there will be a total of 24 cards between 3 and 10

Therefore, the probability of picking card between 3 and 10


Conclusion: Probability of picking a card between 3 and 10 is 6/12

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