Two distinct number cubes, one red and one blue, are rolled together. Each number cube has sides numbered 1 through 6. What is the probability that the outcome of the roll is an even sum or a sum that is a multiple of 3?
Enter your answer, in simplest fraction form, in the box. ​

Answers

Answer 1
Answer: 2/3
Given: Two distinct number cubes, one red and one blue, are rolled together
To find: probability that the outcome of the roll is an even sum or a sum that is a multiple of 3
Solution:
If two dices are rolled together, possible outcomes are as follows:
(1,1) (1,2)(1,3)(1,4)(1,5)(1,6)
(2,1)(2,2)(2,3)(2,4)(2,5)(2,6)
(3,1)(3,2)(3,3)(3,4)(3,5)(3,6)
(4,1)(4,2)(4,3)(4,4)(4,5)(4,6)
(5,1)(5,2)(5,3)(5,4)(5,5)(5,6)
(6,1)(6,2)(6,3)(6,4)(6,5)(6,6)
So, total number of outcomes = 36
In order to find probability that the outcome of the roll is an even sum or a sum that is a multiple of 3, favourable outcomes are
(1,1) (1,2)(1,3)(1,5)
(2,1)(2,2)(2,4)(2,6)
(3,1)(3,3)(3,5)(3,6)
(4,2)(4,4)(4,5)(4,6)
(5,1)(5,3)(5,4)(5,5)
(6,2)(6,3)(6,4)(6,6)
Number of favourable outcomes = 24
Probability that the outcome of the roll is an even sum or a sum that is a multiple of 3 = Number of favourable outcomes/Total Number of outcomes = 24/36 = 2/3

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

x represents pears

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add the new equation to the first original one:

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Answers

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Step-by-step explanation:

Answer:

y = 1/4x - 5

Step-by-step explanation:

y = mx + b is the equation of a straight line.

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Step-by-step explanation:

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The graphs A and B are given in the problem can be analysed one by one as follows,

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Step-by-step explanation:

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Answer:

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280 divided by 4 equals 70

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Answers

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Step-by-step explanation:

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[tex]\huge\bold{ANSWER:}[/tex]

-2x-10

[tex]\bf{EXPLANATION:[/tex]

Hi there!

Here's what the Distributive Property states:

a(b+c)=ab+ac

So, we take a number outside the parentheses, and "distribute" it.

In this case, we should distribute -2:

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Enjoy your day!

Feel free to ask if you have any doubts! :)

[tex]\mathfrak{SilentNature~a.k.a.Sparkles}[/tex]

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Given:

18% increase followed by a 13% decrease.

To find:

The single percentage equivalent to a 18% increase followed by a 13% decrease.

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Answers

Answer:

Y Intercept = (0,8)

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Step-by-step explanation:

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Answers

Answer:

Frequently, we know the new amount and the percent change and need to know the original amount. We found that a $600 TV on sale for 30% off, cost $420 on sale. We might think, that to find the original cost of the TV that has a sale price of $420 after a sale of 30% off, we could just take 30% of the $420 cost and add it back to the $420 to find the original cost.

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Step-by-step explanation:

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Answer & Step-by-step explanation:

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Sorry if wrong ;(

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Answer:

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Step-by-step explanation:

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