[tex]\text{Allen, Brittney and Charla are the finalists in a reality tv show. }\\ \text{the probability that Brittney will win is 0.38, }\\ \text{and the probability that Charla will win is 0.35. }\\ \text{we need to find the probability that Allen will win.}\\ \\ \text{we know that in any experiment, the total sum of all probabilities is 1.}\\ \\ \text{here we have already the probability of winning of Brittney and Charla.}[/tex]
[tex]\text{so the probability that Allen will win is}\\ =1-(\text{Probability of winnig of Brittney + Probability of winning of Charla})\\ \\ =1-(0.38+0.35)\\ \\ =1-0.73\\ \\ =0.27[/tex]
Hence the probability that Allen will win is: 0.27
