Question

Question
Which of the following shows the correct calculation for finding the probability of rolling two number cubes and getting a sum of 6 or 11?(1 point)
Responses

536 +236
Start Fraction 5 over 36 End Fraction plus Start Fraction 2 over 36 End Fraction

636 +236
Start Fraction 6 over 36 End Fraction plus Start Fraction 2 over 36 End Fraction

536 ⋅236
Start Fraction 5 over 36 End Fraction times Start Fraction 2 over 36 End Fraction

636 ⋅236

Answer 1

To find the probability of rolling two number cubes (dice) and obtaining a sum of either 6 or 11, we need to calculate the probabilities for each sum and then add them together.

1. **Calculating the probability of getting a sum of 6:**
The possible combinations to achieve a sum of 6 when rolling two dice are:
- (1, 5)
- (2, 4)
- (3, 3)
- (4, 2)
- (5, 1)

There are 5 combinations that yield a sum of 6.

2. **Calculating the probability of getting a sum of 11:**
The possible combinations to achieve a sum of 11 are:
- (5, 6)
- (6, 5)

There are 2 combinations that yield a sum of 11.

3. **Total outcomes when rolling two dice:**
There are a total of 6 faces on each die, so the total number of outcomes when rolling two dice is \(6 \times 6 = 36\).

4. **Calculating the probabilities:**
- Probability of rolling a sum of 6 = \(\frac{5}{36}\)
- Probability of rolling a sum of 11 = \(\frac{2}{36}\)

5. **Adding the probabilities:**
To find the overall probability of rolling a sum of 6 or 11, you add the two probabilities:
\[
\frac{5}{36} + \frac{2}{36} = \frac{7}{36}
\]

From the given options, the correct calculation of the probability can be represented as:
\[
\frac{5}{36} + \frac{2}{36}
\]

So the correct answer option is:
- **Start Fraction 5 over 36 End Fraction plus Start Fraction 2 over 36 End Fraction**