Math Problem Statement

Calculate the following probability to four decimal places: 5C3 * 0.63 * 0.42

Solution

The probability is 2.64602.6460 when rounded to four decimal places.

Do you have any questions or would you like more details on the steps?

Here are some related questions:

  1. What does the notation 5C35C3 represent in combinatorics?
  2. How is the combination 5C35C3 calculated?
  3. Why do we multiply probabilities in this calculation?
  4. What is the significance of rounding probabilities?
  5. Can you explain a scenario where this type of probability calculation is applied?

Tip: When calculating combinations, use the formula nCr=n!r!(nr)!nCr = \frac{n!}{r!(n-r)!}.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Combinatorics
Probability

Formulas

Combination formula: nCr = n! / [r!(n - r)!]
Probability multiplication rule

Theorems

Fundamental theorem of combinatorics
Basic probability multiplication

Suitable Grade Level

Grades 10-12