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
AI Thread 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 'Trigonometry problem of interest'

Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
View full post »

Thread 'Six Pencil Puzzle'

Is it possible to arrange six pencils such that each one touches the other five? If so, how? This is an adaption of a Martin Gardner puzzle only I changed it from cigarettes to pencils and left out the clues because PF folks don’t need clues. From the book “My Best Mathematical and Logic Puzzles”. Dover, 1994.
View full post »
Thread 'Imaginary Pythagoras'

Thread 'Imaginary Pythagoras'

I posted this in the Lame Math thread, but it's got me thinking. Is there any validity to this? Or is it really just a mathematical trick? Naively, I see that i2 + plus 12 does equal zero2. But does this have a meaning? I know one can treat the imaginary number line as just another axis like the reals, but does that mean this does represent a triangle in the complex plane with a hypotenuse of length zero? Ibix offered a rendering of the diagram using what I assume is matrix* notation...
View full post »

Similar threads

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

Hot Threads

Recent Insights

Back
Top