Answer: 0.1
Step-by-step explanation:
WE know that the total probability in an experiments = 1.
i.e. Sum of the probabilities of occurring each event is 1.
i.e. If there are n outcomes in any experiment., then the total probability will be:
[tex]P(E_1)+P(E_2)+P(E_3)+...........+P(E_n)=1[/tex]
Given : An experiment consists of four outcomes ,with P(E1) = 0.2, P(E2) = 0.3, and P(E3) = 0.4.
Then , [tex]P(E_1)+P(E_2)+P(E_3)+P(E_4)=1[/tex]
Substitute corresponding values , we get
[tex]0.2+0.3+0.4+P(E_4)=1[/tex]
[tex]0.9+P(E_4)=1[/tex]
[tex]P(E_4)=1-0.9=0.1[/tex]
Hence , the probability of outcome [tex]E_4[/tex] is 0.1.
