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# A bag contains cards numbered from 1 to 49. A card is drawn from the bag at random, after mixing the card thoroughly. Find the probability that the number on the drawn card is an even prime number - Mathematics

Sum

A bag contains cards numbered from 1 to 49. A card is drawn from the bag at random, after mixing the card thoroughly. Find the probability that the number on the drawn card is an even prime number

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#### Solution

The cards are numbered from 1 to 49.
∴ Total number of outcomes = 49

An even prime number is 2.
So, the favourable number of outcomes is 1.
∴ P(number on the drawn card is an even prime number) =$\frac{\text{ Favourable number of outcomes }}{\text{ Total number of outcomes }} = \frac{1}{49}$

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#### APPEARS IN

RD Sharma Class 10 Maths
Chapter 16 Probability
Exercise 16.1 | Q 48.4 | Page 24
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