Answer:
[tex]P(A\cup B)=0.93[/tex]
Step-by-step explanation:
We have been given that A and B are independent events. We are asked to find [tex]P(A\cup B)[/tex].
We know that if two events are independent, then [tex]P(A\cup B)=P(A)+P(B)-P(A\cap B)[/tex].
[tex]P(A\cap B)=P(A)*P(B)[/tex]
Substituting our given values in above formula we will get,
[tex]P(A\cup B)=0.3+0.9-(0.3*0.9)[/tex]
[tex]P(A\cup B)=1.2-0.27[/tex]
[tex]P(A\cup B)=0.93[/tex]
Therefore, the probability of [tex]P(A\cup B)[/tex] is 0.93.
