a pair of dice is tossed. find the probability of getting a total of 8.
Make a table, using rows from 1 to 6, and columns from 1 to 6
Fill in the sums, eg. row2, column3 will be 5
Count how many add up to 8
Find the probability of getting a sum of 8
To find the probability of getting a total of 8 when rolling a pair of dice, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes.
First, let's determine the number of favorable outcomes. Rolling a pair of dice can result in 36 possible outcomes because each die has 6 sides, and there are 6 possible outcomes for the first die and 6 possible outcomes for the second die.
To find the number of favorable outcomes for a total of 8, we need to count how many combinations of the two dice would result in a sum of 8. These combinations are (2, 6), (3, 5), (4, 4), (5, 3), and (6, 2). So there are 5 favorable outcomes for a total of 8.
Now, let's calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes.
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 5 / 36
Therefore, the probability of getting a total of 8 when rolling a pair of dice is 5/36.