Math Problem Statement
Solution
The problem asks for the probability of obtaining a value "not less than 5" when rolling a single fair die.
A standard die has six faces, numbered 1 through 6. The numbers that are not less than 5 are 5 and 6.
Step-by-step solution:
-
Favorable outcomes: The possible outcomes where the roll is 5 or greater are {5, 6}.
- So, there are 2 favorable outcomes.
-
Total possible outcomes: When rolling a die, there are 6 equally likely outcomes in total (1 through 6).
-
Probability formula: The probability of an event is given by:
-
Apply the values:
So, the probability of obtaining a number not less than 5 is 1/3.
Would you like more details, or do you have any questions?
Here are five related questions to think about:
- What is the probability of rolling an even number on a fair die?
- What is the probability of rolling a number less than 4?
- If you roll two dice, what is the probability that the sum is 7?
- How would the probability change if the die was not fair?
- What is the probability of rolling a 5 twice in a row?
Tip: Simplify probabilities as much as possible to their lowest terms for clarity and correctness!
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 of event P(event) = (Number of favorable outcomes) / (Total number of possible outcomes)
Theorems
Basic Probability Theory
Suitable Grade Level
Grades 5-7