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Alexus [3.1K]
3 years ago
14

You draw two cards from a standard deck of 52 cards. What is the probability of drawing a queen and then a king consecutively fr

om the deck without replacement?
Mathematics
2 answers:
Orlov [11]3 years ago
8 0

Answer: D

Step-by-step explanation:

Gelneren [198K]3 years ago
3 0

Answer:

4/663

Step-by-step explanation:

There are 4 queens and 4 kings in a deck. Drawing a queen would be 4/52. Drawing a king afterwards with replacing the queen would be 4/51 because you took a queen but didn't replace that one queen card so the deck has only 51 cards left after you drew the queen. Drawing a queen would not affect your chance of drawing a king card, it will only affect the total number of cards left because you didn't replace the card afterwards. 4*4=16;52*51=2652. 16/2652 can be simplified to 4/663 by dividing 4 to both numbers. 16/4=4 and 2652/4=663. The probability of drawing a queen then a king without replacement would be 4/663.

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UkoKoshka [18]
If the gum costs 75 cents today, which is 3 cents less than three times what the pack cost 20 years ago, we just need to arrange what we know into an equation.
We know that the price of gum today is 75 cents, so we can leave that on one side of the equation as a constant. Also, since we are dealing only with cents and not dollars, there is no need to shift the decimal point to the left.

? = 75

Now, we can work the equation.

The problem tells us that 75 is 3 cents less than three times the old cost. So, if x is the old cost, we can work out the equation based on that.
It says that it's 3 cents less than 3 times x. The question is basically the equation in word form.

3x - 3 = 75

'3x' being the "three times the old cost" part, '- 3' being the "3 cents less" part, and '75' of course being the current price of a pack of gum.
Option C is your correct answer.

BTW if we were to solve this, we would see that the old price of a pack of gum is:

3x - 3 = 75
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3x = 78
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x = 26

20 years ago, a 75-cent pack of gum cost 26 cents.
Hope that helped! =)
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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