MHB What is the probability that at least 5 was shown for 5 or more times?

  • Thread starter Thread starter Hasib
  • Start date Start date
  • Tags Tags
    Probability
Click For Summary
The discussion revolves around calculating the probability of rolling at least a 5 on a die for 5 or more times out of 6 throws. It begins by establishing the basic probabilities of rolling a 5 or higher and less than 5 in a single throw. The conversation then shifts to analyzing the scenario where exactly 5 out of the 6 throws show a 5 or higher, requiring the identification of unique arrangements of the outcomes. The participants explore combinatorial arrangements to represent the outcomes visually. The thread emphasizes understanding both individual and combined probabilities in the context of multiple die throws.
Hasib
Messages
2
Reaction score
0
A dice was thrown for 6 times.What is the probability that at least 5 was shown for 5 or more times?
 
Mathematics news on Phys.org
Hi Hasib, welcome to MHB.

What do you make of the event that says at least 5 was shown for 5 or more times?
 
Suppose we throw a die one time, what is the probability that at least a 5 is shown? What is the probability that less than 5 is shown?
 
MarkFL said:
Suppose we throw a die one time, what is the probability that at least a 5 is shown? What is the probability that less than 5 is shown?
2/6 and 4/6 = 1/3 and 2/3
 
Hasib said:
2/6 and 4/6 = 1/3 and 2/3

Okay good, Now we have to consider 6 throws. Let's examine the case where 5 of the 6 throws is at least 5 (5 or 6). That means one throw is less than 5. Suppose we represent this one throw less than 5 with a red cube and the others with identical green cubes and line them up in a row. How many unique arrangements would we have?
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
View full post »

Similar threads

MHB Probability of AT LEAST 3 6s in 5 Dice Rolls
  • · Replies 1 ·
Replies
1
Views
5K
MHB Find the probability all 5 dice rolls are the same
  • · Replies 2 ·
Replies
2
Views
4K
MHB Understanding Dice Throwing Probabilities: A Layman's Guide
  • · Replies 8 ·
Replies
8
Views
5K
Undergrad What Is the Probability of Getting a Specific Number When Throwing Three Dice?
  • · Replies 5 ·
Replies
5
Views
1K
MHB Find Probability of Double Throwing 6-Sided Die 5 Times
  • · Replies 1 ·
Replies
1
Views
3K
MHB What Is the Probability of Drawing Specific Ball Colors from a Bag?
  • · Replies 1 ·
Replies
1
Views
2K
MHB Probability of Rolling Sum > 3 with Two Dice
  • · Replies 5 ·
Replies
5
Views
3K
High School Death Rally: an intricate probability problem?
  • · Replies 8 ·
Replies
8
Views
2K
MHB Probability of Missed Bullseye 3+ Times in 4 Shots
  • · Replies 1 ·
Replies
1
Views
3K
MHB How Many Rolls of Dice to Get Sum 12?
  • · Replies 5 ·
Replies
5
Views
2K