Gr 11 Math Ch 10: Dependent and Inependent Events

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Questions and Answers

What is the formula for the probability of two independent events A and B occurring?

  • P(A) × P(B) (correct)
  • P(A) - P(B)
  • P(A) / P(B)
  • P(A) + P(B)

If two events are mutually exclusive, what is the probability of both events occurring?

  • P(A) × P(B)
  • 1
  • P(A) + P(B)
  • 0 (correct)

What is the formula for the probability of event A occurring given that event B has occurred?

  • P(A and B) / P(B) (correct)
  • P(A) × P(B)
  • P(A) / P(B)
  • P(A) + P(B)

What is the formula for the probability of two dependent events A and B occurring?

<p>P(A) × P(B|A) (B)</p> Signup and view all the answers

What is the formula for the probability of event A or event B occurring, when they are not mutually exclusive?

<p>P(A) + P(B) - P(A and B) (B)</p> Signup and view all the answers

Which of the following events describes two events that cannot occur at the same time?

<p>Mutually exclusive events (B)</p> Signup and view all the answers

What is the probability of event A and event B occurring if they are dependent?

<p>P(A) × P(B | A) (A)</p> Signup and view all the answers

If P(A) = 0.4 and P(B) = 0.6, and A and B are independent events, what is P(A and B)?

<p>0.24 (D)</p> Signup and view all the answers

If P(A or B) = 0.7 and P(A and B) = 0.2, what is P(A) + P(B)?

<p>0.9 (B)</p> Signup and view all the answers

What is the term for the probability of event A occurring given that event B has occurred?

<p>Conditional probability (A)</p> Signup and view all the answers

If the probability of event A occurring is 0.3 and the probability of event B occurring is 0.5, and they are dependent events, what is the minimum possible value of P(A and B)?

<p>0.0 (D)</p> Signup and view all the answers

If events A and B are mutually exclusive, which of the following statements is always true?

<p>P(A) + P(B) = P(A and B) (B)</p> Signup and view all the answers

If P(A) = 0.4 and P(A | B) = 0.8, what is the maximum possible value of P(B)?

<p>0.8 (B)</p> Signup and view all the answers

If events A and B are independent, which of the following statements is always true?

<p>P(A | B) = P(A) (C)</p> Signup and view all the answers

If P(A or B) = 0.9 and P(A and B) = 0.4, what is the maximum possible value of P(A) + P(B)?

<p>1.5 (C)</p> Signup and view all the answers

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