What is the probability that a randomly number from 20 to 30 is divisible by 3 and then divisible by 12 after replacing first

Respuesta :

probability of divisibility by3=4/11
probability of divisibility by 12 =1/11
probability of divisibility by 12 and 3=4/11×1/11
answer is 4/121

The probability that a random number is divisible by 3 and then divisible by 12 is 4/121

How to determine the probability?

The sample space is given as:

S = {20, 21 ......., 30}

There are 4 numbers divisible by 3 and 1 number divisible by 12.

So, we have:

P(3) = 4/11

P(12) = 1/11

The required probability is then calculated using:

P = P(3) * P(12)

Substitute known values

P = 4/11 * 1/11

Evaluate

P = 4/121

Hence, the probability is 4/121

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