1 / 11 is the probability that 2 red marbles are picked without replacement.
Step-by-step explanation:
A bag contains 4 red marbles, 5 blue marbles, and 3 green marbles.
The total number of marbles in the bag = 12 marbles.
Two marbles are picked at random.
We need to find the Probability that two marbles are picked without replacement.
P (first red) = No.of red marbles / Total marbles
⇒ 4 / 12
After the first marble taken out, the total marbles in the bag will be reduced to 11 marbles and the no.of red marbles will become 3.
P (second red) = No.of remaining red marbles / Total marbles
⇒ 3 / 11
To find the probability of 2 red marbles :
⇒ P (first red) × P (second red)
⇒ 4/12 × 3/11
⇒ 12/132
⇒ 1/11
∴ 1 / 11 is the probability that 2 red marbles are picked without replacement.
