Question

One bag contains three white marbles and five black marbles, and a second bag contains four white marbles and six black marbles. A person draws one marble from each bag. Find the probability that both marbles are black.

Answer 1

Refer to the attachment.

Answer 2

Once again @robtobey2 has given an answer with NO explanation and hence no learning.
@robtobey2 PLEASE stop - it is against the code of conduct and ONLY proves that YOU know how to solve the question.

@myrraarrym
The probabilty of drawing a black from each bag is relatively simple.

There are 8 marbles in the fisrt bag and 5 are black - so the probabilty of drawing a black at random is 5/8
You can do the same for the second bag where there are 10 marbles of which 6 are black.

NOW you need to now that these two selections are INDEPENDENT. The result of the first does not affect teh result of the second

In this case the equation you need is
Probability of A and B occuring is (Probability of A) * (Probabilty of B)

So once you have the 2 separate probabilities simply multiply them together to get teh answer...