When two balanced dice are rolled, 36 equally likely outcomes are possible. What are the odds of getting a 5 or 6?
I wonder if you mean a 5 or 6 on either die, or a SUM of 5 or 6.
Does "a" mean only one, for instance, would 5,5; 5,6;6,6 count as a 5 OR 6?
Please clarify.
To find the odds of getting a 5 or 6 when two balanced dice are rolled, we first need to determine the total number of outcomes where a 5 or 6 is possible, and then divide that by the total number of equally likely outcomes.
There are 6 possible outcomes for each dice roll, ranging from 1 to 6. Since we have two dice, the total number of equally likely outcomes is 6 * 6 = 36.
Now let's determine the total number of outcomes where a 5 or 6 is possible. For the first dice, there are 2 favorable outcomes, which are 5 and 6. Similarly, the second dice also has 2 favorable outcomes. Therefore, the total number of favorable outcomes is 2 * 2 = 4.
Now we can calculate the odds by dividing the number of favorable outcomes by the number of equally likely outcomes: 4 / 36 = 1/9.
So, the odds of getting a 5 or 6 when two balanced dice are rolled is 1 in 9.