.
In all, there are 6 + 6 + 7 = 19 marbles.
The probability in this case is the ratio, whose denominator is , and the numerator is the product
...
Here the symbols denotes the number of combinations of n items taken m at a time.
When you are given such problem, it is assumed that you know what the combinations are and how to calculate these numbers.
On combinations, see the lessons
- Introduction to Combinations
- PROOF of the formula on the number of Combinations
- Problems on Combinations
- Math circle level problem on Combinations
- OVERVIEW of lessons on Permutations and Combinations
in this site.
Also, you have this free of charge online textbook in ALGEBRA-II in this site
- ALGEBRA-II - YOUR ONLINE TEXTBOOK.
The referred lessons are the part of this online textbook under the topic "Combinatorics: Combinations and permutations".
Save the link to this textbook together with its description
Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson
into your archive and use when it is needed.