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A standard deck of 52 playing cards contains 13 cards in each of four suits: hearts, diamonds, clubs, and spades.
Four cars are drawn from the deck at random.
What is the approximate probability that exactly three of the cards are diamonds?
1%
4%
11%
44%

Respuesta :

tramserran

Answer:   a) 1%

Step-by-step explanation:

1st draw and 2nd draw and 3rd draw and 4th draw

   [tex]\dfrac{13}{52}[/tex]         x         [tex]\dfrac{12}{51}[/tex]          x         [tex]\dfrac{11}{50}[/tex]         x        [tex]\dfrac{39}{49}[/tex]      =     [tex]\dfrac{66,924}{6,497,400}[/tex]

= 0.01

= 1%

MrGumby

Answer:

The odds are about 1%

Step-by-step explanation:

In order to find this, start by determining the likelihood of drawing a diamond on the first draw.

13/52

Next subtract one from each of those numbers to get the likelihood of drawing one again (since we removed one on the first draw).

12/51

Next do this a third time, subtracting one from both numbers.

11/50

Finally, use the opposite for the last draw since we want it to not be a diamond.

39/49

Now, to get the probability, multiply them all together.

13/52 * 12/51 * 11/50 * 39/49 = .01 = 1%

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