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

Related Questions

A bag contains 21 coins consisting of nickles and dimes. The total value of the coins is $1.70.
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Answers

Answer:

8

Step-by-step explanation:

x = nickles

y = dimes

0.05x + 0.10y = 1.70

x + y = 21

y = 21 - x

0.05x + 0.10 (21 - x) = 1.70

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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HeyYyyYyYyT

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

Calculator
6
What is the area of this figure?
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2
1
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Answer:

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Step-by-step explanation:

took the test <3

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Answers

Answer:

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Answers

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Answers

Answer:

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Answers

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Answers

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