# ALGERBRA

IF YOU ARE DEALT 5 CARDS FROM A SHUFFLED DECK OF 52 CARDS, FIND THE PROBABILITY THAT ALL 5 CARDS ARE HEARTS. FIND THE PROBABILITY THAT 4 CARDS ARE HEARTS.

1. 👍 0
2. 👎 0
3. 👁 171
1. first card 1/4
second card 12/51
third card 11/50
fourth card 10/49
fifth card 9/48
multiply :)

1. 👍 0
2. 👎 0
posted by Damon
2. that comes out to:
.0004952

or use combinations
13 hearts in deck
number of combinations of 5 in 13 =
c(13,5) = 13!/[ 5!(8!) ] = 1,287
5 in 52 = 52!/[5!(47!)] = 2,598,960
quotient = .0004952

1. 👍 0
2. 👎 0
posted by Damon

## Similar Questions

1. ### math

if you are dealt 5 cards from a shuffled deck of 52 cards find the probability that all 5 cards are picture cards please show how to get the answer such 6!C! so i can understand

asked by charlotte on April 27, 2010
2. ### Trig

If you are dealt 3 cards from a shuffled deck of 52 cards, find the probability that all 3 cards are picture cards.

asked by Katie on May 7, 2012
3. ### Probability

If you are dealt 3 cards from a shuffled deck of 52 cards, find the probability that all 3 cards are picture cards.

asked by Katie on May 7, 2012
4. ### math

A deck of cards are shuffled 20 times. You are dealt 12 cards at random: what is the probability that all 12 cards are black? or what is the probability that all 12 cards are kings, queens or jacks

asked by Bob on February 25, 2016
5. ### Math

given a standard deck of 52 cards, 3 cards are dealt. If each card is replaced in the deck (and the deck is well shuffled) after being dealt answer the questions below. 1. If the first two cards are queens, what is the probability

asked by Austin on March 24, 2015
1. ### statistics

you are dealt two cards successively(without Placement)from a shuffled deck of 52 playing cards .find the probability that both cards are black .express your answer as a simplified fraction.

asked by rency on October 27, 2009
2. ### math

you are dealt two cards successively(without Placement)from a shuffled deck of 52 playing cards .find the probability that both cards are black .express your answer as a simplified fraction.

asked by rency on October 27, 2009
3. ### math

If you are dealt 6 cards from a shuffled deck of 52 cards, find the probability of getting 3 jacks and 3 aces.

asked by Junior on June 25, 2014
4. ### Probability

A player is randomly dealt a sequence of 13 cards from a standard 52-card deck. All sequences of 13 cards are equally likely. In an equivalent model, the cards are chosen and dealt one at a time. When choosing a card, the dealer

asked by qwerty on February 23, 2014
5. ### math

A standard deck of playing cards had 52 cards. These cards are divided into four 13 card suits: diamonds, hearts, clubs, and spades. Find the probability of drawing a heart or a club at random from a deck of shuffled cards.

asked by Anonymous on March 9, 2016
6. ### math

uestion: Five cards are dealt from standard deck of 52 cards, what is the probability of being dealt 3 kings? Here is what I have P(3 kings)= C(4,3) = 3 out of 4 kings being dealt C(48,2 = 2 out of remaning cards to complete 5

asked by marco on March 5, 2011

More Similar Questions