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
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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