Dependent and Independent Events (Grade 11 NSC Matric Mathematics): Quizzes
📚Quizzes
Practise the questions
10 questions from this quiz
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Practise the questions
10 questions from this quiz
What defines independent events A and B?
What defines independent events A and B?
A bag has 5 red and 5 blue balls. Draw one, replace it, draw again. Are the draws independent?
A bag has 5 red and 5 blue balls. Draw one, replace it, draw again. Are the draws independent?
Yes, replacement keeps composition unchanged
With replacement: P(red 1st)=1/2, P(blue 2nd)=1/2. What is P(red 1st and blue 2nd)?
With replacement: P(red 1st)=1/2, P(blue 2nd)=1/2. What is P(red 1st and blue 2nd)?
Without replacement from 5 red & 5 blue: P(red 1st and blue 2nd) = ?
Without replacement from 5 red & 5 blue: P(red 1st and blue 2nd) = ?
If P(A)=0.3, P(B)=0.4, P(A and B)=0.12, are A and B independent?
If P(A)=0.3, P(B)=0.4, P(A and B)=0.12, are A and B independent?
Yes, 0.12 = 0.3 × 0.4
How do you test if events are mutually exclusive?
How do you test if events are mutually exclusive?
Check if
Are mutually exclusive events always independent?
Are mutually exclusive events always independent?
No, they are completely different concepts
What happens to the sample space when event B occurs?
What happens to the sample space when event B occurs?
It changes to focus on outcomes in B
Sampling without replacement typically creates what type of events?
Sampling without replacement typically creates what type of events?
Dependent events
If P(A)=1/2, P(B)=1/2, P(A and B)=5/18, what can we conclude?
If P(A)=1/2, P(B)=1/2, P(A and B)=5/18, what can we conclude?
Events are dependent