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A 6-sided cube has sides numbered 1 through 6. If the cube is rolled

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Bunuel
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A 6-sided cube has sides numbered 1 through 6. If the cube is rolled [#permalink] New post   03 Jan 2019, 09:16
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A 6-sided cube has sides numbered 1 through 6. If the cube is rolled twice, what is the probability that the sum of the two rolls is equal to 8?

(A) 1/9
(B) 1/8
(C) 5/36
(D) 1/6
(E) 7/36
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bkastan
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Re: A 6-sided cube has sides numbered 1 through 6. If the cube is rolled [#permalink] New post   03 Jan 2019, 09:35
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Probability is equal to desired outcome divided by total number of outcomes. Desired outcomes for the two rolls to sum to 8 are (2,6) (3,5) (4,4) (5,3) (6,2). This is 5 desired outcomes. There are 6 numbers on cube 1,2,3,4,5,6, so Total possible outcomes (denominator) are 6*6 = 36. So using the definition above. The answer is C. 5 desired outcomes divided by 36 total possible outcomes.

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Re: A 6-sided cube has sides numbered 1 through 6. If the cube is rolled [#permalink] New post   03 Jan 2019, 10:25
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Bunuel wrote:
A 6-sided cube has sides numbered 1 through 6. If the cube is rolled twice, what is the probability that the sum of the two rolls is equal to 8?

(A) 1/9
(B) 1/8
(C) 5/36
(D) 1/6
(E) 7/36


Total possibilities on the first roll = 6
Total possibilities on the second roll = 6
Total possible outcomes = 6*6 = 36 ways

Sum of the two rolls can be 8 in the following ways: {2, 6}, {3, 5}, {4, 4}, {5, 3}, {6, 2} = 5 ways

Probability = 5/36

Answer (C)
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Re: A 6-sided cube has sides numbered 1 through 6. If the cube is rolled [#permalink] New post   06 Jan 2019, 05:49
Bunuel wrote:
A 6-sided cube has sides numbered 1 through 6. If the cube is rolled twice, what is the probability that the sum of the two rolls is equal to 8?

(A) 1/9
(B) 1/8
(C) 5/36
(D) 1/6
(E) 7/36



for sum to come 8 we have
(2,6),(3,5),(4,4),(5,3),(6,2)

5 possiblities and total 36

5/36 IMO C
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Re: A 6-sided cube has sides numbered 1 through 6. If the cube is rolled [#permalink] New post   28 Sep 2020, 10:49
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Bunuel wrote:
A 6-sided cube has sides numbered 1 through 6. If the cube is rolled twice, what is the probability that the sum of the two rolls is equal to 8?

(A) 1/9
(B) 1/8
(C) 5/36
(D) 1/6
(E) 7/36


Solution:

There are 6 x 6 = 36 outcomes when the cube is rolled twice. The outcomes that yield a sum of 8 are: {2, 6}, {3, 5}, {4,4}, {5, 3} and {6, 2}. Therefore, the probability is 5/36.

Answer: C
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Re: A 6-sided cube has sides numbered 1 through 6. If the cube is rolled [#permalink] New post   15 Oct 2022, 23:01
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Given that A 6-sided cube has sides numbered 1 through 6 and We need to find If the cube is rolled twice, what is the probability that the sum of the two rolls is equal to 8?

As we are rolling the cube twice => Number of cases = \(6^2\) = 36

Out of the 38 cases let's find out the cases in which we can get the sum 8. The cases are as follows:
(2,6), (3,5), (4,4), (5,3), (6,2)
=> 5 cases

=> probability that the sum of the two rolls is equal to 8 = \(\frac{5}{36}\)

So, Answer will be C
Hope it helps!

Watch the following video to learn How to Solve Dice Rolling Probability Problems

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Re: A 6-sided cube has sides numbered 1 through 6. If the cube is rolled [#permalink]
15 Oct 2022, 23:01
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