Friday

April 25, 2014

April 25, 2014

Posted by **Kassie** on Tuesday, April 6, 2010 at 10:02pm.

- Statistics -
**Reiny**, Tuesday, April 6, 2010 at 10:23pm1 of the 4 suits ---> C(4,1) = 4

5 from one of those suits = C(13,5) ---> 1287

5 from the whole deck ---> C(52,5) = 2598960

so prob = 4(1287)/2598960

= 33/16660 = .00198

- Statistics -
**Kassie**, Tuesday, April 6, 2010 at 10:39pmI'm confused as to how you're getting these numbers... Could you possible break it down a little farther please? I dont understand how you get from C(52,5)=2598960...Thank you so much for helping!

- Statistics -
**Reiny**, Tuesday, April 6, 2010 at 11:24pmHave you learned the difference between permutations and combinations?

in combinations the order does not matter.

(if I hold 5 cards in my hand, the order in which they were dealt to me does not matter)

C(13,5) means ..

how many groups of 5 can I form from 13

It is short form for 13!/(5!8!)

= 13x12x11x10x...x2x1/(8x7x6x..x2x1)(5x4x3x2x1))

= 13x12x11x10x9/(5x4x3x2x1) = 154440/120 = 1287

On your calculator there is a button labeled_{n}C_{r}

so enter

13

2nd F_{n}C_{r}

5

=

You should get 1287

**Related Questions**

general - From a standard deck of 52 cards, all of the clubs and the jack of ...

Math - I can not seem to figure out this question. Can someone please help? Two ...

AP Statistics - A standard deck of cards consisting of 52 cards, 13 in each of 4...

statistics - Anne, Joe and Lynn, in this order, will take turns to draw two ...

Math - two cards are drawn without replacement from an ordinary deck of 52 ...

Math - Two cards are drawn without replacement from an ordinary deck of 52 ...

probability/math - Three cards are drawn without replacement from an ordinary ...

math - five cards are chosen at random from a standard deck of 52 cards. what is...

Math/ Probability - Two cards are drawn without replacement from an ordinary ...

Math - Three cards are drawn without replacement from an ordinary deck of 52 ...