hey mathematician look for it,
case 1: when c is not needed
fixing b a pt.(later we'll see for b also)a can be placed at 90/360 ways ,also in both sides therefore its 2 x 90/360
further when c is not needed in between a and b therefore it placing probability take value 2 x 270/360 (2 x as for both case of a being on either sides).
Also b can be placed in any angle threreforp() = 1/360
therefore the net prob being
(2 x 90/360) x (2 x 270/360) x (1/360)
similarly case2:when c is needed for communicating