Question

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?

Answer 1

Step-by-step explanation:

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

7 years agoHelpfull: Yes(68) 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