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

Step 1: Count the favorable outcomes
The possible pairs that give a sum of 7 when two six-sided dice are thrown are:
\[ (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) \] There are 6 favorable outcomes. Step 2: Total possible outcomes
Each die has 6 faces, so the total number of outcomes is: \[ 6 \times 6 = 36 \] Step 3: Calculate the probability
\[ P(\text{sum} = 7) = \frac{6}{36} = \frac{1}{6} \approx 0.1667 \] Rounding to two decimal places: \[ \boxed{0.17} \]