Respuesta :
What's the sample space? Are we talking about rolling a die or what?
Anyway, if we call the probability [tex] p(x=1) = x [/tex], then [tex] p(x\neq 1) = 1-x [/tex]
So, the expression becomes
[tex] x + (1-x)x + (1-x) = x + x - x^2 + 1 - x = -x^2+x+1 [/tex]
The sum of the probabilities of the favorable outcomes and the unfavorable outcomes is [tex]\rm x^2+x-1[/tex].
Given
The sum of the probabilities of the favorable outcomes and the unfavorable outcome and the unfavorable outcomes;
[tex]\rm p(x=1)+p(x\neq 1)p(x=1)+p(x\neq 1)[/tex]
What are favorable outcomes?
The theoretical probability of an event is the likelihood that the event will occur.
Then
The value of [tex]\rm p(x=1)=x[/tex] and the value of [tex]\rm p(x\neq 1)=x-1[/tex].
Substitute all the values in the equation
[tex]\rm p(x=1)+p(x\neq 1)p(x=1)+p(x\neq 1)\\\\x+x(x-1)+x-1\\\\x+x^2-x+x-1\\\\x^2+x-1[/tex]
Hence, the sum of the probabilities of the favorable outcomes and the unfavorable outcomes is [tex]\rm x^2+x-1[/tex].
To know more Favorable outcomes click the link given below.
https://brainly.com/question/24112134
