Question

Allen, brittney and charla are the finalists in a reality tv show. the probability that brittney will win is 0.38, and the probability that charla will win is 0.35. what is the probability that allen will win?

Answer 1

P(allen wins)
=1-(0.38+0.35)
=1-0.73
=0.27

Answer 2

`\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.}`

`\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`

Hence the probability that Allen will win is: 0.27