Practice Addition And Multiplication Theorems (4.3.4) - Probability

Practise this section

9 questions

Flashcard drill
4 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
What is the Addition Theorem formula?
Show hintHide hint
Remember the union and intersection of events.
Question 2.
If P(A) = 0.7 and P(B) = 0.2 with no overlap, what is P(A ∪ B)?
Show hintHide hint
Think no intersection means just sum them.
3Question 3.
What formula represents the Addition Theorem?
- A) P(A ∪ B) = P(A) + P(B)
- B) P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
- C) P(A ∩ B) = P(A) + P(B)
Show hintHide hint
No hint provided
4Question 4.
Is P(A ∩ B) calculated as P(A) × P(B) for independent events?
- True
- False
Show hintHide hint
No hint provided
Question 5.
A deck of cards is drawn from. What is the probability of drawing either a heart or an ace, if you know there are 52 cards and 4 aces in total, considering the overlap?
Show hintHide hint
Account for the overlap of the ace of hearts!
Question 6.
If P(A) = 0.3 and P(B) = 0.2 with dependence established as P(B|A) being 0.1, find P(A ∩ B).
Show hintHide hint
Independent doesn't matter here, use conditional probability!

5 more questions in this section. Enroll free to practise them all.