# A Bag Contains Cards Numbered from 1 to 25. a Card is Drawn at Random from the Bag. the Probability that the Number on this Card is Divisible by Both 2 and 3 is - Mathematics

MCQ

A bag contains cards numbered from 1 to 25. A card is drawn at random from the bag. The probability that the number on this card is divisible by both 2 and 3 is

#### Options

• $\frac{1}{5}$

• $\frac{3}{25}$

• $\frac{4}{25}$

• $\frac{2}{25}$

#### Solution

The total number of cards in the bag is 25.
∴ Total number of outcomes = 25
The numbers from 1 to 25 which are divisible by both 2 and 3 are 6, 12, 18 and 24.
So, the favourable number of outcomes are 4.
∴ P(number on the drawn card is divisible by both 2 and 3) = $\frac{\text{ Favourable number of outcomes }}{\text{ Total number of outcomes }} = \frac{4}{25}$

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#### APPEARS IN

RD Sharma Class 10 Maths
Chapter 16 Probability
Q 40 | Page 39