Independant events?

Question

i need some help, i can't do this.

I need the probability of each please, with an explanation.

3. A bag contains 1 red marble and 3 blue marbles.

After one is taken out it is put back in and another is drawn.

Both are red.

Both are blue.

Both are the same color.

The marbles are different colors.

Answer 1

Probability of drawing a red marble = 1/4

Probability of drawing a blue marble = 3/4

Probability of drawing two red marbles =

1/4 * 1/4 = 1/16

Probability of drawing two blue marbles =

3/4 * 3/4 = 9/16

Probability both are the same color =

1/16 + 9/16 = 10/16 = 5/8

Probability of different colors =

1 - 5/8 = 3/8