Question

Answer my question fasttt

Answer 1

Heya....✋
Answer is in attachment
hope it helps✅

Answer 2

We are given two events A and B.


The probability that at least one of two events A and B occurs is 0.6 

"At least one event occurs" means that either A will occur, or B will occur, or A and B both will occur.


 In mathematical form, we are saying:

$P(A \cup B) = 0.6$


Also, the probability that A and B both occur simultaneously is 0.3

That is:

$P(A \cap B) = 0.3$

Now:

$P(A \cup B) = P(A) + P(B) - P(A\cap B) \\ \\ \implies 0.6 = P(A) + P(B) - 0.3 \\ \\ \implies P(A) + P(B) = 0.6+0.3 \\ \\ \implies P(A) + P(B) = 0.9$

We can now find the required answer:

$P(\overline{A}) + P(\overline{B}) \\ \\ = (1-P(A))+(1-P(B)) \\ \\ = 2 - (P(A)+P(B)) \\ \\ = 2 - (0.9) \\ \\ = 1.1 \\ \\ \\ \implies \boxed{\bold{P(\overline{A}) + P(\overline{B})=1.1}}$