Problem 43 of 7
Distinguish independent from mutually exclusive in the story: card is a heart and card is black.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
compare cannot-both-happen versus no likelihood change.
Hidden until you reveal it.
Use cannot-both-happen for mutually exclusive and unchanged probability for independent.
Enter your answer
Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Ask whether both events can occur together.
2. Ask whether knowing one changes the likelihood of the other.
3. Name the correct relationship and reason.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Treating mutually exclusive and independent as synonyms.