- #1
Rifscape
- 41
- 0
Homework Statement
Hi, I have this question that I've been pondering for a while, I keep flipflopping on what I think is right. I only need help on the last part on whether the events are independent or not, the rest of the text is backstory to the question.
I know for events to be independent P(A and B) = P(A) * P(B) and P(A|B) = P(A) and P(B|A) = P(B)
Though I am still having trouble conceptualizing it for this question.
A coin is to be flipped 3 times, list the possible outcomes.
Assume that each one of the outcomes has probability 1/8 of occurring, find the probability of A: Observing exactly 1 head B: Observing 1 or more heads C: Observing no heads
Are events A and B independent? Why or why not? Are events A and C independent? Why or why not? Are events B and C independent? Why or why not?
Any help is appreciated. Thank you for you help and time.
Homework Equations
P(A and B) = P(A) * P(B)
P(A|B) = P(A)
P(B|A) = P(B)
The Attempt at a Solution
Based on my current knowledge this is what I said for the first question
a.Events A and B are independent, since the probability of observing one head does not impact the probability of observing one or more heads.