Question

What is the probability of making a 7 in one throw of a pair of dice?

Short answer

The probability of making a 7 in one throw of a pair of dice is \(1/6\) or \(0.1667\) or \(16.67\%\).

Step-by-step solution

Determine the total number of outcomes

Since there are two dice and each die has six sides, there are a total of 6 * 6 = 36 possible outcomes when tossing the dice.

Identify the outcomes with a sum of 7

Now, let's list down all the possible combinations of numbers that give a sum of 7: 1. 1 + 6 2. 2 + 5 3. 3 + 4 4. 4 + 3 5. 5 + 2 6. 6 + 1 There are 6 combinations of numbers that result in a sum of 7.

Calculate the probability

Now that we know there are 6 favorable outcomes (combinations with a sum of 7) and a total of 36 outcomes, we can calculate the probability. The probability is defined as the number of favorable outcomes divided by the total number of outcomes: Probability = Number of Favorable Outcomes / Total Number of Outcomes In our case: Probability = 6 / 36 = 1 / 6

Express the probability as a fraction, decimal, and percentage

The probability can be represented as: Fraction: \(1/6\) Decimal: \(0.1667\) (rounded to 4 decimal places) Percentage: \(16.67\%\) (rounded to 2 decimal places) So, the probability of getting a sum of 7 in one throw of a pair of dice is \(1/6\) or \(0.1667\) or \(16.67\%\).