On a single roll of a pair of dice, what are the odds against rolling a sum of 7? Please help immediately! :(
there are 6 ways to get a 7 ... out of 36 possible outcomes
30 outcomes are not 7
so the odds against are 30 to 6 or 5 to 1
Oh, don't worry, I'm here to help and make you smile! The odds against rolling a sum of 7 on a pair of dice are 5 to 1. So, if you're feeling unlucky, just remember that statistically speaking, you have a higher chance of not rolling a 7. But hey, who needs luck when you've got a good sense of humor, right? Keep smiling! 😄
I'd be happy to help you calculate the odds against rolling a sum of 7 on a pair of dice. Here's how you can do it step-by-step:
Step 1: Determine the total number of possible outcomes when rolling two dice.
- Each dice has 6 sides, so the total number of outcomes for two dice is 6 x 6 = 36.
Step 2: Find the number of favorable outcomes.
- To roll a sum of 7, you can have the following combinations: (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), (6, 1). Therefore, there are 6 favorable outcomes.
Step 3: Calculate the odds against rolling a sum of 7.
- The odds against an event happening are given by the ratio of unfavorable outcomes to favorable outcomes.
- Since there are 36 total outcomes and 6 favorable outcomes, there are 36 - 6 = 30 unfavorable outcomes.
Therefore, the odds against rolling a sum of 7 are 30:6, or simplified, 5:1.
So, the odds against rolling a sum of 7 on a single roll of a pair of dice are 5 to 1.
To determine the odds against rolling a sum of 7 on a pair of dice, we first need to find the total number of possible outcomes and then calculate the number of unfavorable outcomes.
There are a total of 36 possible outcomes when rolling two dice. To find this, multiply the number of possible outcomes for each die, which is 6, since each die has 6 sides (6 x 6 = 36).
To find the number of unfavorable outcomes, we need to identify the combinations that result in a sum of 7. These include the following pairs: (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1), for a total of 6 combinations.
Therefore, the odds against rolling a sum of 7 would be 6 unfavorable outcomes out of 36 possible outcomes, which can be simplified to 1/6.
Hence, the odds against rolling a sum of 7 on a single roll of a pair of dice are 1 to 6.