Probability of Picking Red, Blue, and Red from a Bag without Replacement

  • Thread starter Thread starter ajdude
  • Start date Start date
  • Tags Tags
    Probability
Click For Summary
SUMMARY

The probability of picking a red ball, followed by a blue ball, and then another red ball from a bag containing 5 red, 6 green, and 9 blue balls, without replacement, is calculated as follows: (5/20) * (9/19) * (4/18). This calculation is correct, confirming that the methodology for determining the probability is sound and accurately reflects the scenario presented.

PREREQUISITES
  • Understanding of basic probability concepts
  • Familiarity with combinatorial calculations
  • Knowledge of the concept of "without replacement"
  • Ability to perform fraction multiplication
NEXT STEPS
  • Study advanced probability theory, focusing on conditional probabilities
  • Explore combinatorial methods in probability, such as permutations and combinations
  • Learn about probability distributions and their applications
  • Investigate real-world applications of probability in statistics
USEFUL FOR

Students studying probability, educators teaching mathematics, and anyone interested in understanding the principles of combinatorial probability.

ajdude
Messages
1
Reaction score
0

Homework Statement



There is a bag with 20 balls in it. 5 red, 6 green, 9 blue. What is the probability of picking, (without replacement) a red, then a blue, then a red in that order?

Homework Equations





The Attempt at a Solution



(5/20) * (9/19) * (4/18)

Is this correct? Or am I missing something?
 
Physics news on Phys.org
That looks fine to me.
 

Similar threads

  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 11 ·
Replies
11
Views
3K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 2 ·
Replies
2
Views
3K
Replies
7
Views
3K
Replies
10
Views
4K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 8 ·
Replies
8
Views
2K
Replies
10
Views
4K