00:01
In this problem, it is said that eric is randomly drawing cards from a deck of 52 cards.
00:05
He first draws a red card, places it back in the deck, shuffles the deck, and then draws another card.
00:10
We need to find the probability of drawing a red card, placing it back in the deck, and then drawing another red card card.
00:16
So let us consider r1 to be the event that the first card drawn is red, and let us consider r2 to be the event that the second card drawn is red.
00:24
And we need to find the probability of r1 and r2.
00:28
Now, note that these two events are independent events.
00:31
This is because the card selected first is placed back in the deck.
00:35
So what card is selected first does not affect the card selected second.
00:39
They're independent events.
00:40
And so we can use the multiplication rule of probability for independent events...