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what are the chances of drawing a red 3 times in a row in a deck of cards

2006-06-15 18:00:39 · 12 answers · asked by Anonymous in Education & Reference Homework Help

12 answers

50% For the first
49.02% for two in a row
48.98% for three in a row

2006-06-15 18:04:39 · answer #1 · answered by nevyn55025 6 · 1 0

I am working on that section right now. Just did the black question. The first time is 1/2 ...(26 red cards, 52 total cards.) Second one will be 25/51 and the third draw is 12/25 (24/50)

1/2 * 25/51 * 12/25 = 3/17 reduced. Or, if you want to write out the equation it is

C26,3
---------
C52,3

whichever way is easier or the way they want you to do it.....:)

good luck!

2006-06-15 18:10:54 · answer #2 · answered by sara101usaf 2 · 0 0

Half the cards are red.
So to draw one, the chance is 26/52 (or 50%)
To draw a second one would be 25/51, since there is already a red card out of the deck (the first card you drew)
and then for the third card, it would be 24/50, since there are already two red cards out of the deck.
so, 26*25*24/52*51*50 = 15600/132600 or about 11.76%

2006-06-15 18:08:15 · answer #3 · answered by double_nubbins 5 · 0 0

1/2 X 1/2 X 1/2 = 1 in 8! (Actually this is a rough approximation.)

The exact chances are:
26/52 X 25/51 X 24/50 = you do this calculation!

2006-06-15 18:05:52 · answer #4 · answered by Doctor J 7 · 0 0

there are 52 cards, 26 are red, without jokers
26/52 + 25/51 + 24/50 (without replacement)
75/153 = .491 or 49.1%
26/52 + 26/52 + 26/52(with replacement)
78/156 = .5 or 50%
add up the denominators and then the numerators, its much easier, just finished my stat class, got 98% in the class

2006-06-15 20:49:05 · answer #5 · answered by Sue S 3 · 0 0

for nonreplaceable:
there are 26 red cards& u want to draw 3 red cards in a row.
(26/52)*(25/51)*(24/50)

answer is ..........well u know to calculate

2006-06-15 18:12:00 · answer #6 · answered by pavitra 2 · 0 0

26/52 * 25/51 * 24/50

= 11.76% (without replacement)

with replacement is 1/2 * 1/2 * 1/2 = 1/8

Of course there are no jokers in the deck either.

2006-06-15 18:05:46 · answer #7 · answered by stephenfournier 2 · 0 0

there are 26 red cards in a deck of cards .and 54 cards in total


26*25*24/54*53*52(without replacement)

26*26*25/54*54*54(with replacement)

2006-06-15 19:57:57 · answer #8 · answered by halleberry_aus 4 · 0 0

according to my calculations the chances of that is equal to the hypothesis of the triangle divided by the multiples of the square times 4.93 plus pie!!!

2006-06-15 18:11:51 · answer #9 · answered by abs of steel 3 · 0 0

1/2 * 1/2 * 1/2 = 1/8 or 12.5%

2006-06-15 18:04:12 · answer #10 · answered by markbesada 2 · 0 0

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