Lets suppose ten horses are participating in a race and each horse has equal chance of winning the race. I am required to find the following:
(a) the probability that horse A wins the race followed by horse B.
(b) the probability that horse C becomes either first or second in the race.
I know there are $10 \cdot 9 \cdot 8 $ ways of having first, second or third.
Since each horse has an equal chance of winning, each has probability of 1/10. Would I be right in saying that the probability that A wins followed by B is $\frac{1}{10} \cdot \frac{1}{10} $?
Is it okay if I do this for (b)? $\frac{1}{10} +\frac{1}{10} $?