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tester [92]
3 years ago
10

from a srandard deck of 52 cards, what is the probability of drawing two five cards with replacement?

Mathematics
2 answers:
Keith_Richards [23]3 years ago
4 0
Event A = drawing a card with a "5" on the label.

There are 4 ways that event A could occur: drawing a '5' of hearts, 5 of spades, 5 of diamonds, or five of clubs. 

This is out of 52 cards total

For one card, 
P(A) = 4/52 = 1/13

For two cards,
P(A and A) = P(A)*P(A)
P(A and A) = (1/13)*(1/13)
P(A and A) = 1/169
We're able to multiply like this because the events are independent (replacement occurs).

The answer as a fraction is 1/169
The answer in decimal form is approximately 0.005917
The answer as a percent is approximately 0.5917%
Alika [10]3 years ago
3 0
There are 4 5's in a deck of 52 cards so
P(5) = 4/52
Since the card is being replaced it will be the same probability the second time.
P(5) = 4/52
P(5)= 4/52 * P(5)=4/52 = 16/2704 = 1/169
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A metalworker has a metal alloy that is 30?% copper and another alloy that is 55?% copper. How many kilograms of each alloy shou
Sati [7]

Answer:

18 kilograms of 30% copper alloy is mixed with 72 kilograms of 55% copper alloy to makes  90 kg of a 50% copper alloy .

Step-by-step explanation:

Let us assume that the kilogram of 30% copper used to make alloy be x .

Let us assume that the kilogram of 55% copper used to make alloy be y .

As given

A metalworker has a metal alloy that is 30% copper and another alloy that is 55% copper.

The metalworker combine to create 90 kg of a 50% copper alloy .

Equation becomes

x  + y = 90

30% is written in the decimal form .

= \frac{30}{100}

= 0.30

55% is written in the decimal form .

= \frac{55}{100}

= 0.55

50% is written in the decimal form .

= \frac{50}{100}

= 0.50

Equation becomes

Concentration of 30% copper alloy × Number of kilograms of 30% copper alloy used + Concentration of 55% copper alloy × Number of kilograms of 55% copper alloy used = Concentration of 50% copper alloy × Number of kilograms of 50% copper alloy .

0.30x + 0.55y = 0.50 × 90

Simplify the above equation

\frac{30x}{100} + \frac{55y}{100} = \frac{90\times 50}{100}

30x + 55y = 4500

Two equation becomes

x  + y = 90

30x + 55y = 4500

Multiply x  + y = 90 by 30 and subtracted form 30x + 55y = 4500 .

30x - 30x + 55y - 30y = 4500 - 2700

25y = 1800

y = \frac{1800}{25}

y = 72 kilograms

Putting the value of y in the equation .

x  + 72 = 90

x = 90 - 72

x = 18 kilograms

Therefore 18 kilograms of 30% copper alloy is mixed with 72 kilograms of 55% copper alloy to makes  90 kg of a 50% copper alloy .

4 0
3 years ago
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