Question

A bag contains 24 balls numbered from 1 to 24.one ball is drawn at random.what is the probability that it is a multiple of 4 and 6?

Answer 1

Answer:

7/24 probability of given event

Answer 2

Solution:

In the given question, Multiple of 4 and 6 means it should be a multiple of 12 because all multiples of 12 are divisible by 6 and 4.

In other words, LCM(4, 6) = 12

Bag contains only 24 balls numbered from 1 to 24.

So, here there are only 2 numbers divisible by 12. They are 12 and 24

$\sf{ \red{Probability \: of \: any \: event = \dfrac{Number \: of \: favourable \: outcomes}{Total \: number \: of \: outcomes} }}$

⇒ Probability that ball is multiple of 4 and 6 = 2 ÷ 24

∴ Probability that ball is a multiple of 4 and 6 = 1/12

KNOW MORE:

• Probability of an event always lies between 0 and 1.
• When Probability of an event happening is added to probability of event not happening then the answer would always be 1.