Answer to Question #16494 in Statistics and Probability for selena

Question

Three swimmers in 100m race, swimmer A is twice as likely to win as B and three times as to win as C. Find the probability that B or C wins. show us workings

Answer 1

Let us assume that probability that A wins is P.
Then probability that B wins is P/2
And probability that C wins is& P/3

We know that someone should win, that is why sum of all probabilities should be 1
P+P/2+P/3=1
6P+3P+2P=6
11P=6
P=54.5%
Probability that B wins is 54.5%/2=27.3%
Probability that C wins is 54.5%/3=18.2%