Question
If the events $A$ and $B$ are independent, show that $A^{\prime}$ and $B^{\prime}$ are independent.
Step 1
This means that the probability of $A$ and $B$ occurring together is the product of their individual probabilities. Mathematically, this can be written as: \[P(A \cap B) = P(A)P(B)\] Show more…
Show all steps
Your feedback will help us improve your experience
Pratyush Raitan and 91 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Suppose that $A$ and $B$ are independent events. Show that $A^{c}$ and $B$ are also independent.
If $A$ and $B$ are independent events, show that $A$ and $\bar{B}$ are also independent. Are $\bar{A}$ and $\bar{B}$ independent?
Probability
Two Laws of Probability
If the events A and B are independent, prove that A' and B' are also independent.
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD