Six pieces of string of equal length are held in a bundle in one person's hand. A second person ties 3 knots at each end of the bundle of strings, where each knot joins a randomly selected pair of strings.After the six knots are tied, the bundle is examined to see whatpattern of loops have been formed.There are three possibilities.

T: 3 small two-string loops

M: 1 medium four-string loop; 1 small two-string loops

L:1 large six-string loop

What are the probabilities (a) P(T)

(b) P(L)

(c) P(M) of these events.