Math Problem Statement
Solution
Let's analyze the problem step by step:
We are working with two six-sided dice, one orange and one white, each of which has numbers from 1 to 6. The problem asks us to compute three probabilities based on the sum of the dice.
3.1.1 Probability that the sum is 12
The only way to get a sum of 12 is if both dice show a 6. There is exactly 1 favorable outcome: (6, 6). The total number of outcomes when rolling two dice is .
Thus, the probability is:
3.1.2 Probability that the sum is greater than or equal to 13
The maximum possible sum of two dice is 12 (which occurs with the combination (6, 6)), so there are no outcomes where the sum is 13 or greater.
Thus, the probability is:
3.1.3 Probability that the sum is less than 9
To solve this,
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Probability
Combinatorics
Formulas
Probability = (Number of favorable outcomes) / (Total number of possible outcomes)
Theorems
Basic Probability Theory
Suitable Grade Level
Grades 8-10