a bag contains 10 red marbles, 10 white marbles, and 10 blue marbles. what is the minimum no. of marbles you have to choose randomly from the bag to ensure that we get 4 marbles of same color?
Answers
Answered by
17
Answer:
10 and mark me as brainilest
Step-by-step explanation:
- Apply pigeonhole principle.
- No. of colors (pigeonholes) n = 3
- No. of marbles (pigeons) K+1 = 4
- Therefore the minimum no. of marbles required = Kn+1
- By simplifying we get Kn+1 = 10.
- Verification: ceil[Average] is [Kn+1/n] = 4
- [Kn+1/3] = 4
- Kn+1 = 10
- i.e., 3 red + 3 white + 3 blue + 1(red or white or blue) = 10
Answered by
6
Answer:
I hope this will help you
Attachments:
Similar questions