Questions: What is the probability of rolling a sum of 2 on a standard pair of six-sided dice? Express your answer as a fraction or a decimal number rounded to three decimal places, if necessary.

$What is the probability of rolling a sum of 2 on a standard pair of six-sided dice? Express your answer as a fraction or a decimal number rounded to three decimal places, if necessary.$

Transcript text: What is the probability of rolling a sum of 2 on a standard pair of six-sided dice? Express your answer as a fraction or a decimal number rounded to three decimal places, if necessary.

Solution

Solution Steps

Step 1: Identify the Desired Sum (S)

The desired sum is \(S = 2\).

Step 2: Calculate Total Possible Outcomes

Since each die has 6 faces, and there are two dice, the total number of possible outcomes when rolling the dice is \(6 \times 6 = 36\).

Step 3: Calculate Favorable Outcomes

The number of ways to achieve the sum \(S = 2\) by adding up the numbers on the two dice is 1.

Step 4: Calculate Probability

The probability of rolling a sum of \(S = 2\) is the ratio of the number of favorable outcomes to the total possible outcomes, which is \( rac{1}{36}\).

Step 5: Express the Probability

The probability, expressed as a decimal rounded to 3 decimal places, is 0.028.

Final Answer:

The probability of rolling a sum of \(S = 2\) on a standard pair of six-sided dice, rounded to 3 decimal places, is 0.028.

Was this solution helpful?

Unhelpful

Helpful

Questions asked by other users

< Previous Next >

Thank you for your feedback.

Copied!