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Out of a total of 36 combinations (1-1, 1-2, 1-3, ... 2-1, 2-2, ... 6-6), you have the following favorable possibilities:

1-1

1-2

1-3

1-4

2-1

2-2

2-3

3-1

3-2

4-1

The total is 10 combinations out of 36, so the probability is 10/36.

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Q: What is the probability of getting a sum less than 6 if you roll two number cubes?
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What is the probability that the product of two number cubes is less than 8?

Zero


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It is 1.


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What is the probability of getting a number less than 5 on all cubes if you roll 5 of them?

Assuming the 5 cubes are standard, unbiased dice with the numbers 1-6 on the faces: There are 4 numbers {1, 2, 3, 4} which are less than 5. Each has a probability of 1/6 of appearing on 1 die, thus each die has a probability of 4 × 1/6 = 4/6 = 2/3 of showing a number less than 5 → probability of all 5 dice showing a number less than five = (2/3)⁵ = 32/243 ≈ 0.132 = 13.2 %


If two dice are rolled what is the probability of getting s sum less than 3?

The only number less than 3 that you can get with two dice is 2. The probability of getting a 2 is 1/36.The only number less than 3 that you can get with two dice is 2. The probability of getting a 2 is 1/36.The only number less than 3 that you can get with two dice is 2. The probability of getting a 2 is 1/36.The only number less than 3 that you can get with two dice is 2. The probability of getting a 2 is 1/36.


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