A bag contains six sticks of the following lengths 1 cm, 3 cm, 7 cm, 11 cm and 13 cm. three sticks are drawn at random from the bag. What is the probability that we can form a triangle with those sticks?
Options
o 11/20
o 1
o 1/4
o 2/5

• total possibilities = 5c3= 10
  1 3 7
  1 3 11
  1 3 13
  1 7 11
  1 7 13
  1 11 13
  3 7 11
  3 7 13
  3 11 13
  7 11 13
  now for making a triangle,, the sum of any 2 sides must be greater than 3rd side
  so
  3 11 13
  7 11 13 are only cases
  so P= 2/10= 1/5
  
• 11 years agoHelpfull: Yes(69) No(31)
• A bag contains six sticks of the following lengths 1 cm, 3 cm, 7 cm, 5cm,11 cm and 13 cm. three sticks are drawn at random from the bag. What is the probability that we can form a triangle with those sticks?
  
  total possibilities=6c3=20
  now for making a triangle,, the sum of any 2 sides must be greater than 3rd side
  so
  3 5 7
  3 11 13
  5 7 11
  7 11 13
  5 11 13
  
  
  5/20=1/4
• 9 years agoHelpfull: Yes(47) No(4)
• wat ever may b the lemgth 3 aticks will surely form a triangle so answer is 1.
  
• 11 years agoHelpfull: Yes(15) No(81)
• wat abt the length of sixth stick ?
• 11 years agoHelpfull: Yes(10) No(13)
• i) Only 5 dimensions are given. What about the dimension of the 6th stick?
  
  ii) So counting only for 5 sticks, the number of selection of 3 from it = C(5,3) = 10
  
  iii) The suitable selection of these to form a triangle is only (3, 11, 13) & (7, 11, 13)
  Other selection can not be able to form triangle; since sum of any two of them will not be greater than the third.
  Thus the probability of such selection = 2/10 = 1/5
  
  As such there is no suitable choices.
• 11 years agoHelpfull: Yes(7) No(5)
• ans 2/5 because 5 sizes are given and 2 ways are there to form triangle..
  
• 11 years agoHelpfull: Yes(4) No(8)
• total ways is 5C3
  but only 2 ways are to form a triangle.
  so probability=(no of ways in which triangles can be formed)
  =(2/10)
• 11 years agoHelpfull: Yes(3) No(2)
• DUMMY QUESTION.......TOTAL NO OF STICKS IS 6 BUT THE LENGTH FOR STICKS IS ONLY 5
  
• 9 years agoHelpfull: Yes(3) No(2)
• question is wrong :
  actual question is :
  A bag contains six sticks of the following lengths 1 cm, 3 cm, 5cm ,7 cm, 11 cm and 13 cm. three sticks are drawn at random from the bag. What is the probability that we can form a triangle with those sticks?
  Options
  o 11/20
  o 1
  o 1/4
  o 2/5
  please solve.....guys
  
• 8 years agoHelpfull: Yes(2) No(0)
• * Taking 5 as the left stick
  The combinations are 6C3 =20
  "For a triangle the sum of squares of two sides should be lesser than than square of third side"
  Hence we can make triangles with all combination !!!
  ( Remember we can make triangle .. we need to exact third side... The value of length should be larger" Example 1 3 5 ...1sq+3sq=10 while 5sq=25 ..
  hence if we join them we can form with(PYTHOGRAS THEOREM)
  1 , 3, root(10)=3.14 ( we have excess of 3.14 as 5 ) so we can form a triangle...
  THIS APPLIES to ALL COMBINATIONS so
  20/20=1
  option b) is Answer
  
• 8 years agoHelpfull: Yes(1) No(1)
• not sufficient data, and in question there must be sixth stick size as 5 cm.
• 9 years agoHelpfull: Yes(0) No(2)
• wrong question
• 5 years agoHelpfull: Yes(0) No(0)
• Total possibilities 6c3=20
  To form a triangle;sum of two sides should be smaller than third side.
  So possibilities are:
  1 3 5
  1 3 7
  1 3 11
  1 3 13
  1 5 7
  1 5 11
  1 5 13
  3 5 11
  3 5 13
  3 7 11
  3 7 13
  Possibilities are 11
  Hence total possibility is 11/20
• 4 years agoHelpfull: Yes(0) No(0)