Question 346169
Let x be the support of one of the front runners.
The 3rd candidate is getting 2x/3 support
2x + 2x/3
= 6x/3 + 2x/3
=8x/3 total support.
.
x / 8x/3
= x * 3/8x
=3x/8x
=3/8 probability for either of the front runners winning.
.
2x/3 / 8x/3
= 2x/3 * 3/8x
=6x/24x
=1/4 probability of the 3rd candidate winning.
.
3/8 + 3/8 + 1/4 = 1
.
Ed