Dice Probability Worksheet

📆 Updated: 1 Jan 1970
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🔖 Category: Other

Are you a math enthusiast looking to enhance your understanding of probability? Look no further! This blog post introduces a dice probability worksheet that will provide you with a comprehensive and practical approach to studying this exciting field. Whether you are a student or a teacher, this worksheet will be a valuable resource to help you grasp the concept of probability through the lens of rolling dice.



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Probability Worksheet Grade 3
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Geometric Probability Worksheet
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Where Does Money Go Board Game My Life PCI Skills Games
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Where Does Money Go Board Game My Life PCI Skills Games
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Where Does Money Go Board Game My Life PCI Skills Games
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What is the probability of rolling a 6 with a fair six-sided die?

The probability of rolling a 6 with a fair six-sided die is 1/6, or approximately 16.67%. This is because there is only one face with a 6 out of the six possible outcomes when rolling the die.

If two fair six-sided dice are rolled, what is the probability of rolling a sum of 7?

The probability of rolling a sum of 7 with two fair six-sided dice is 1/6 or approximately 0.167. This is because there are a total of 36 possible outcomes when rolling two dice, and out of those outcomes, there are 6 ways to get a sum of 7 (1+6, 2+5, 3+4, 4+3, 5+2, 6+1). Therefore, the probability is 6 favorable outcomes out of 36 total outcomes, which simplifies to 1/6.

What is the probability of rolling an even number with a fair four-sided die?

The probability of rolling an even number with a fair four-sided die is 2 out of 4 or 1/2, which is 50%. This is because there are two even numbers (2 and 4) out of the total four possible outcomes when rolling the die.

If two fair four-sided dice are rolled, what is the probability of rolling a sum greater than 5?

The probability of rolling a sum greater than 5 when two fair four-sided dice are rolled is 5/8, or approximately 0.625. This can be calculated by determining the possible outcomes that result in a sum greater than 5 (which are 9, 10, 11, and 12) and dividing by the total number of possible outcomes when rolling two four-sided dice (which is 16).

What is the probability of rolling a number less than 3 with a fair eight-sided die?

The probability of rolling a number less than 3 with an eight-sided die is 2/8 or 1/4, which simplifies to 0.25 or 25%.

If two fair eight-sided dice are rolled, what is the probability of rolling a sum of 10 or higher?

To calculate the probability of rolling a sum of 10 or higher with two fair eight-sided dice, we need to first determine the total number of possible outcomes when rolling the two dice, which is 8 * 8 = 64. Next, we count the number of outcomes that result in a sum of 10 or higher, which are (2,8), (3,7), (4,6), (4,6), (5,5), (6,4), (7,3), and (8,2). There are 8 favorable outcomes. Therefore, the probability of rolling a sum of 10 or higher is 8/64 = 1/8 or 12.5%.

What is the probability of rolling a number divisible by 3 with a fair twelve-sided die?

The probability of rolling a number divisible by 3 with a fair twelve-sided die is 1/3, as there are four numbers (3, 6, 9, 12) out of twelve that are divisible by 3.

If two fair twelve-sided dice are rolled, what is the probability of rolling a sum less than or equal to 15?

To find the probability of rolling a sum less than or equal to 15 when two twelve-sided dice are rolled, we need to consider all the possible outcomes where the sum of the two dice is less than or equal to 15. There are a total of 144 possible outcomes when rolling two twelve-sided dice (12 sides for each die). The outcomes where the sum is 15 or less are when the sum is 2, 3, 4, ..., 14, and 15. Counting all these outcomes, there are 15 ways in total where the sum is 15 or less. Therefore, the probability of rolling a sum less than or equal to 15 is 15/144 or approximately 0.1042.

What is the probability of rolling a number greater than 4 with a fair twenty-sided die?

The probability of rolling a number greater than 4 with a fair twenty-sided die is 16/20 or 4/5, which simplifies to 0.8 or 80%.

If two fair twenty-sided dice are rolled, what is the probability of rolling a sum between 30 and 35 (inclusive)?

To find the probability of rolling a sum between 30 and 35 (inclusive) with two fair twenty-sided dice, we need to calculate the number of ways the sum can be in that range divided by the total number of possible outcomes. There are a total of 20 * 20 = 400 possible outcomes when rolling two twenty-sided dice. In this case, the sums between 30 and 35 are 30, 31, 32, 33, 34, and 35, which can be obtained in the following ways: (10, 20), (11, 19), (12, 18), (13, 17), (14, 16), and (15, 15). There are 6 favorable outcomes. Therefore, the probability of rolling a sum between 30 and 35 is 6/400 = 0.015, or 1.5%.

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