Wednesday

July 23, 2014

July 23, 2014

Posted by **Anonymous** on Friday, February 28, 2014 at 10:03pm.

a. What is the probability that such a hand has each of the following?

1. Exactly 5 spades

2. Which is more probable, getting all 4 aces or getting all 13 cards of the same suit? Justify your answer.

- Probability -
**Reiny**, Friday, February 28, 2014 at 10:23pmlet S be the event of being dealt a spade,

x the event of a non-spade

One such 5 spade hand could be

SSSSSXXXXXXXX

The prob of that is

(13/52*12/51*11/50*10/49*9/48)(39/47*38/46*37/45*36/44*35/43*34/33*33/32*32/31)

a quicker way would be to say

prob(exactly 5 spades)

= ( C(13,5)*C(39,8)/C(52,13)

= .12469

prob (4 aces)

= 4C(4,4)*C(48,9)/C(52,13) = appr .01056

prob(13 of same suit)

= 4/C(52,3) = very small

not even close!

**Related Questions**

Math - A standard deck of cards is made up of four suits with 13 cards in each ...

Math - Question: You are randomly dealt 5 cards from a standard deck of 52 ...

Math Probabilities - A standard deck of cards contains 52 cards. Of these cards...

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

Math - A standard deck of cards contains 52 cards. Of these cards there are 13 ...

Statistics - A standard deck of 52 playing cards is composed of 4 suits. Each ...

Math - A standard deck of cards contains 52 cards. Of these cards there are 13 ...

Probability - A player is randomly dealt a sequence of 13 cards from a standard...

Math - A standard deck of cards has four different suits:hearts ,diamonds ,...

math - In a card game using a normal deck of playing cards containing 52 cards, ...