Five sticks of length 1,3,5,7 and 9 feet are given. Three of these sticks are selected at random. What is the probability that the selected sticks can from a triangle?

Step-by-step solution

3 sticks can be selected from 5 sticks in ^5 c ₃ ways ^5 c ₃=10 Probability that selected sticks from a triangle is P ( E ) aligned & n(E)= ^4 c₃-1= 4 3 2 1 3 2 1 -1=4-1=3 . & p(E)= 3 10 =0.3 aligned