Problem 124 of 7
Test independence using joint probability from table data P(A)=1/2, P(B)=1/3, P(A and B)=1/6.
Hints
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
compare joint to product of marginals.
Hidden until you reveal it.
Use P(A and B)=P(A)P(B) with probabilities from the table.
Enter your answer
No answer yet
Correct
Your answer is equivalent to the expected form.
Solution
Walkthrough
Walkthrough shown
Full solution stays hidden until you ask for it.
1. Compute marginal probabilities and joint probability.
2. Multiply the marginal probabilities.
3. Compare product with the joint probability.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Using P(A or B) as the joint probability.