Question

A box contains 25 cards numbered from 1 to 25. A card is drawn at random from the bag. Find the

probability that the number on the drawn card is divisible by 2 or 3.​

Answer 1

$\sf{\huge{\underline{\orange{Given :-}}}}$

• A box contains 25 cards numbered from 1 to 25. A card is drawn at random from the bag.

$\sf{\huge{\underline{\pink{To\:Find :-}}}}$

• The probability that the number on the drawn card is divisible by 2 or 3.

$\sf{\huge{\underline{\red{Answer :-}}}}$

The box consist of total 25 cards.

( 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25 )

They are drawn random from a bag.

According to the question,

The outcomes that are divisible by 2 are :-

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24

The outcomes that are divisible by 3 are :-

3, 6, 9, 12, 15, 18, 21, 24

divisible by 2,3 (2,3,4,6,8,9,10,12,14,15,16,18,20,21,22,24)

= 16

Total = 25

The probability that the number on the drawn card is divisible by 2 or 3.

= $\dfrac{16}{25}$