00:01
For this question, we are going to calculate some probabilities based on a standard deck of 52 playing cards.
00:09
And i have an image on the screen to represent those playing cards.
00:13
We are selecting cards without replacement.
00:17
Part a.
00:19
Find the probability that all three cards are kings.
00:24
Well, when we select the first card, there are four kings out of 52.
00:30
We are not replacing that king, so then there are three kings left out of 51 cards.
00:39
And once again, we are not replacing either, which means there are only two kings left out of 50 cards.
00:47
Multiply the numerators, 4 times 3 times 2, multiply the denominators.
01:05
We could then simplify, which my calculator can do for me.
01:12
I'm typing in 24 divided by 132 ,600.
01:19
And i'm using the fraction to decimal feature on my calculator.
01:25
Oh, the decimal's too big, so that doesn't want to work for me.
01:29
Let's see, 1302 ,600 can be divided by four.
01:39
So then we have six over 33150.
01:42
Well, both can be divided by two again.
01:51
Divide by two, divide by two, 16575...