A pair of dice is rolled and the sum of the dice is found. What is the probability of rolling a 7?
Hint: here are the ways to get a 7:
1,6
2,5
3,4
4,3
5,2
6,1
There are 6*6 combinations. What is the probability?
Probability=prefferd no events/total
=6/6*6
1/6
To find the probability of rolling a 7 with a pair of dice, we need to determine the total number of possible outcomes and the number of favorable outcomes.
Let's start by analyzing the possible outcomes. Since there are two dice, each die has 6 sides, numbered from 1 to 6. Therefore, there are 6 possible outcomes for the first die and 6 possible outcomes for the second die, giving us a total of 6 * 6 = 36 possible outcomes.
Next, we identify the favorable outcomes. We are looking for situations where the sum of the two dice is equal to 7. There are six possible combinations that satisfy this condition: (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1).
Therefore, we have 6 favorable outcomes out of the 36 possible outcomes. To calculate the probability, we divide the number of favorable outcomes by the total number of possible outcomes:
Probability = Number of Favorable Outcomes / Total Number of Possible Outcomes.
In this case, the probability of rolling a 7 with a pair of dice is 6/36, which simplifies to 1/6 or approximately 0.1667.