Question

Two fair six-sided dice, with sides numbered 1 to 6, are thrown once. The probability of getting 7 as the sum of the numbers on the top side of the dice is ________. (Round off to two decimal places)

Hint:

When calculating probabilities for dice rolls, count the favorable outcomes and divide by the total number of possible outcomes (36 for two dice).

Answer 1

Correct Answer: 0.16

When two fair six-sided dice are thrown, the possible sums of the numbers on the dice range from 2 to 12. To find the probability of getting a sum of 7, we first need to count how many ways the dice can sum to 7. Step 1: Count the favorable outcomes
The possible pairs of dice rolls that sum to 7 are: \[ (1,6), (2,5), (3,4), (4,3), (5,2), (6,1). \] There are 6 such outcomes. Step 2: Total possible outcomes
Since each die has 6 faces, the total number of outcomes when two dice are thrown is: \[ 6 \times 6 = 36. \] Step 3: Probability calculation
The probability of getting a sum of 7 is the ratio of favorable outcomes to total outcomes: \[ P({sum} = 7) = \frac{6}{36} = \frac{1}{6} \approx 0.1667. \] Rounding this to two decimal places, the probability is approximately \( \boxed{0.16} \).