Question

look at the picture to help please

Answer 1

The second to last, I believe I can help you.

Answer 2

if you can please do!

Answer 3

What is the possible outcome in that deck?

Answer 4

52?

Answer 5

Yep. Now how many diamond card are there in that deck?

Answer 6

8? 4 red and red black right?

Answer 7

Nope. Diamond card are always red. :)

Answer 8

so then 4

Answer 9

Nope. >_> There's actually 13.
Ace, 2, 3, 4, 5, etc.

So there's 13 diamond card out of the 52 possible outcome. So the probability of getting a diamond card on your first try is, \[\large \large \frac{ 13 }{ 52 }\]

Answer 10

Now what's the probability of getting a club next? Well, the possible outcome has changed. Since you already took one random card out. So what's the new possible outcome?

Answer 11

51?

Answer 12

Good. How many club are there?

Answer 13

13?

Answer 14

Good. So the probability of getting a spade card after getting one random card in the beginning is: \[\large \large \frac{ 13 }{ 51 }\]

Answer 15

Now what's the probability of getting a spade? Well what is the new possible outcome?

Answer 16

13/50 ?

Answer 17

Good. Now you multiply the 3 fraction. What do you get?

Answer 18

169/10200

Answer 19

Hmm. Your missing something.
13 * 13 = 169
169 * 13 = ?

Answer 20

Wait. How did you get 10,200. o_O

Answer 21

2197/132600

Answer 22

Good. Now we must simplify that. But I'll sure how to simplify.

Answer 23

So in simpliest form, it would be: