Probability 1&2: Understanding Probability and Its Formula
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Questions and Answers

In a toss of two fair coins, what is the probability of getting at least two heads?

  • 1/8
  • 1/4
  • 3/8 (correct)
  • 1/2

    • What is the probability of getting a head on a single toss of a fair coin?

  • 1/2 (correct)
  • 1/3
  • 2/3
  • 3/4

    • In a roll of a fair dice, what is the probability of getting a 3 or a 6?

  • 1/2
  • 1/3 (correct)
  • 1/6
  • 2/3

    • A bag contains 6 white balls, 5 red balls, and 4 blue balls. What is the probability of drawing a red ball?

    <p>5/15</p> Signup and view all the answers

    What is the probability of getting two heads and a tail when a fair coin is tossed thrice?

    <p>3/16</p> Signup and view all the answers

    If a fair coin is tossed twice, what is the probability of getting two heads?

    <p>1/4</p> Signup and view all the answers

    What is the sum of the probabilities of all mutually exclusive events?

    <p>1 or 100%</p> Signup and view all the answers

    What is the probability that two independent events will both occur, given their individual probabilities?

    <p>The product of their individual probabilities</p> Signup and view all the answers

    What is the addition rule of probability used for?

    <p>To determine the probability of one event or the other (not necessarily both) occurring</p> Signup and view all the answers

    What is the probability of an event not occurring, given the probability of the event occurring?

    <p>1 - P(E)</p> Signup and view all the answers

    What is the condition for the probability of two events being multiplied?

    <p>The events are independent</p> Signup and view all the answers

    Two events are said to be independent if the occurrence of one event affects the occurrence of the other event.

    <p>False</p> Signup and view all the answers

    Two events A and B are said to be mutually non-exclusive if:

    <p>They have at least one common outcome</p> Signup and view all the answers

    What is the probability of two independent events occurring, given their individual probabilities?

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

    What is the formula for the addition rule of probability for non-mutually exclusive events?

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

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

    <p>0</p> Signup and view all the answers

    What is the probability of getting a six on a rolling dice, given that the probability of not getting a six is 84%?

    <p>16%</p> Signup and view all the answers

    What is the probability of a person having both cancer and schizophrenia, given the lifetime probabilities of each?

    <p>0.25 × 0.01</p> Signup and view all the answers

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