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butalik [34]
3 years ago
7

What is the probability of choosing a king in a deck of 52 cards?

Mathematics
2 answers:
nikklg [1K]3 years ago
8 0
<span>K) = 4/51 since there are four aces in the deck but only 51 cards left after the king has been removed. WITH REPLACEMENT: Find the probability of drawing three queens in a row, with replacement. We pick a card, write down what it is, then put it back in the deck and draw again.</span>
Sergeeva-Olga [200]3 years ago
4 0
Probability is the ratio of no. of favorable/desired outcomes to the total outcomes possible, in this case desired outcome is king. As there are 4 kings, so favorable outcomes are 4. Now as there are 52 cards, so there can be 52 outcomes in total. 
so probability of choosing a king is = 4/52.
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A company has a budget of $280,000 for computing equipment. Tablets cost $500 each, laptops cost $2000 each, and servers cost $5
Kazeer [188]

Answer:

The number of tablets  200

the number of laptops  40

and, the number of servers 20

Step-by-step explanation:

Let the number of tablets be 'x'

the number of laptops be 'y'

and, the number of servers be 'z'

According to the given question

Total budget = $280,000

Tablets cost = $500 each

laptops cost = $2000 each

servers cost = $5000 each

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500x + 2000y + 5000z = 280,000 ..............(1)

also,

x = 5y  ................(2)

and,

y = 2z  

or

z = \frac{\textup{y}}{\textup{2}}   ............(3)

substituting y from 2 and 3 in equation 1,  we get

(500 × 5y) + (2000 × y) + (5000 × \frac{\textup{y}}{\textup{2}} ) = 280,000

or

2500y + 2000y + 2500y = 280,000

or

7000y = 280,000

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substituting y in equation 2, we get

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substituting y in equation 3 we get

z = \frac{\textup{40}}{\textup{2}}

or

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hence,

the number of tablets  200

the number of laptops  40

and, the number of servers 20

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