Answer: The probability of getting two red marbles is P = 0.141
Step-by-step explanation:
We know that in the bag there are 3 blue marbles and 5 red marbles, then there is a total of 8 marbles in the bag.
The probability of taking at random a red marble is equal to the quotient between the number of red marbles and the total number of marbles, this is:
p = 3/8
Suppose we got a red marble:
Now we replace the red marble we took, so in the bag there are again 3 red marbles and 8 total marbles, then the probability of getting another red marble is again:
q = 3/8
The joint probability (this is, the probability of both events happening) is equal to the product of the individual probabilities, with gives us:
P = p*q = (3/8)*(3/8) = 9/64 = 0.141
