00:01
To solve these problems, we can use the principles of probability.
00:03
So in a, to find the probability of drawing two red cards, since each draw is independent because the card is replaced after the draw, the probability of drawing a red card on each draw is one half, as half the deck is red.
00:17
To find the probability of two events occurring together, you multiply them together.
00:20
So the probability of red and red is going to be one half times one half, or one fourth.
00:28
To find the probability of drawing two red or two black, this can happen in two ways.
00:35
Either you draw two red or you draw two black.
00:37
And since these are mutually exclusive events, you can just add the probabilities together.
00:42
So that would be the probability of red and red.
00:46
I'll do it like this...