Four people each roll a four die once. Find the probability that at least two people will roll the same number ?

• probability when die rolled 1st time=6C1 i.e. (1,2,3,4,5,6)
  suppose 1 comes, then 2nd time it should not be .as it is given that no 2 people will roll same number.
  so 2nd time probability=5C1 i.e. (2,3,4,5,6)
  same way 3rd and 4th time probability=4C1 and 3C1 respectively.
  
  probability that no one rolls the same no. = 6*5*4*3
  
  and total possibility =6^4
  p(same number)= 6*5*4*3/ 6^4
  = 5/18
  
  p(no same number will roll)=1-5/18
  =13/18
• 9 years agoHelpfull: Yes(27) No(1)
• The number of ways of rolling a dice where no two numbers probability that no one rolls the same number = 6 x 5 x 4 x 3
  Now total possibilities of rolling a dice = 6^4
  The probability that a no one gets the same number = 6×5×4×3/6^4=5/18
  So the probability that at least two people gets same number = 1−5/18=13/18
• 10 years agoHelpfull: Yes(19) No(4)
• 4c2+4c3+4c4/6^4
• 10 years agoHelpfull: Yes(8) No(4)
• The number of ways of rolling a dice where no two numbers probability that no one rolls the same number = 6 x 5 x 4 x 3
  Now total possibilities of rolling a dice = 64
  The probability that a no one gets the same number = 6×5×4×364=5/18
  So the probability that at least two people gets same number = 1−5/18=13/18
• 10 years agoHelpfull: Yes(6) No(5)
• The first person rolls a die, and gets a number.
  
  The second person has a 5/6 chance of rolling a different number.
  
  The third person has a 4/6 chance of rolling a number different from those two.
  
  The fourth person has a 3/6 chance of rolling a number different from all three.
  
  The odds that no two will roll the same number is 5/6*4/6*3/6 = 5/18 = .
  
  That's the odds that no two will roll the same number, so the odds that two (or more) of them will roll the same number is 1-5/18 = 13/18
• 8 years agoHelpfull: Yes(6) No(0)
• ans- 13/18
• 10 years agoHelpfull: Yes(3) No(3)
• The number of ways of rolling a dice where no two numbers probability that no one rolls the same number = 6 x 5 x 4 x 3
  Now total possibilities of rolling a dice = 6^4
  The probability that a no one gets the same number = 6×5×4×3/6^4=5/18
  So the probability that at least two people gets same number = 1−5/18=13/18
• 9 years agoHelpfull: Yes(3) No(3)
• Since it is a 4 die, the probability of getting a no. is 1/4
  The probability that no one rolls the same no. = 1/4 x 1/3 x 1/2 x 1/1
  The probability that at least two people roll the same no. = 1 - (1/24) = 23/24
• 9 years agoHelpfull: Yes(3) No(3)
• 1-((6*5*4*3)/(6*6*6*6))=13/18
• 10 years agoHelpfull: Yes(2) No(1)
• Let's first find the probability that all the people get different numbers.
  
  First person throws the die and get a number.
  
  Second person should get a different number. For this, probability
  =
  5
  6
  because one number is already used by the first person
  
  Third person should get a different number. For this, probability
  =
  4
  6
  because two numbers are already used by the the first two persons
  
  Fourth person should get a different number. For this, probability
  =
  3
  6
  because three numbers are already used by the first three persons
  
  P(all people get different numbers)
  =
  5
  6
  ×
  4
  6
  ×
  3
  6
  =
  5
  18
  
  
  P(at least 2 people get the same number)
  =
  1
  −
  5
  18
  =
  13
  18
• 6 years agoHelpfull: Yes(2) No(0)
• why are we dividing 6^4 and not 4^4?
• 10 years agoHelpfull: Yes(1) No(0)
• The number of ways of rolling a dice where no two numbers probability that no one rolls the same number = 6 x 5 x 4 x 3
  Now total possibilities of rolling a dice = 64
  The probability that a no one gets the same number = 6×5×4×364=518
  So the probability that at least two people gets same number = 1−518=1318
  
• 10 years agoHelpfull: Yes(1) No(7)
• Answer: 5/18
  Explanation: It can be thought of as (1 - probability that all the four will roll different numbers)
  1 - 6x5x4x3/6^4 = 13/18
• 8 years agoHelpfull: Yes(1) No(1)
• The probability that at two people will roll the same number is: 13/18
• 10 years agoHelpfull: Yes(0) No(1)
• how it came 5/18
• 10 years agoHelpfull: Yes(0) No(1)
• 313/36*9 ,jhsdfsjlkfjsDLFM ,kjlksafjlK
• 10 years agoHelpfull: Yes(0) No(8)
• @ Lakshmi Bhavani total no of ways of rolling the dice is 6*6*6*6 and not 64 m i correct so probability of no two getting the same no is =(6*5*4*3)/(6*6*6*6)=10/36
  and required probability is 1-(10/36)
  Plzzz reply
  
• 10 years agoHelpfull: Yes(0) No(1)
• P=1/6 q=5/6
  Same at least 2=(1/6)^2*(5/6)^2+(1/6)^3*(5/6)+(1/6)^4=31/1296
• 10 years agoHelpfull: Yes(0) No(1)
• total no ways of throwing dice four times=6^4.
  if no one get the same number then=6*5*4*3
  subtract this from 6^4.(sadhaura zindabad)
• 10 years agoHelpfull: Yes(0) No(1)