Answer:
[tex]Probability = \frac{1}{11}[/tex]
Step-by-step explanation:
Given
Marbles = 12
Selection without replacement
Required
Determine the probability of selecting 2 primes
Between 1 and 12, the prime digits is 4, and they are: 3, 5, 7 and 11
So, when the first marble is picked, the probability that it will be prime is:
[tex]P(First) = \frac{4}{12}[/tex]
Now there are 3 primes left and 11 marbles in total. So, the probability of selecting another prime is:
[tex]P(Second) = \frac{3}{11}[/tex]
The required probability is:
[tex]Probability = P(First) * P(Second)[/tex]
[tex]Probability = \frac{4}{12} * \frac{3}{11}[/tex]
[tex]Probability = \frac{1}{11}[/tex]
