1 / 7

Nuffield Free-Standing Mathematics Activity Laws of probability

Nuffield Free-Standing Mathematics Activity Laws of probability. When 2 dice are tossed, what is the probability that the sum of the scores is 11?. The laws of probability can help you to answer such questions. Laws of probability. Venn diagram . Kings. Aces.

adlai
Download Presentation

Nuffield Free-Standing Mathematics Activity Laws of probability

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Nuffield Free-Standing Mathematics Activity Laws of probability

  2. When 2 dice are tossed, what is the probability that the sum of the scores is 11? The laws of probability can help you to answer such questions.

  3. Laws of probability Venn diagram Kings Aces Events A and B are mutually exclusive if A can occur or B can occur, but not both at the same time. A card drawn from a pack could be an Ace or King, but not both: P(Ace) P(King) P(Ace or King) = P(Ace) + P(King) For mutually exclusive events: P(A or B) = P(A) + P(B)

  4. Laws of probability When events A and B are not mutually exclusive you cannot just add their probabilities. If a card is drawn from a pack of 52: Think aboutWhat is the probability of an ace or a heart? P(Ace) P(Heart) not P(Ace or Heart) Venn diagram Think aboutWhat would the Venn diagram look like? Aces Hearts

  5. Laws of probability Events A and B are independent if neither has any effect on the probability of the other For independent events: P(A and B) = P(A)  P(B) If a fair coin is tossed and a card drawn from a pack: P(Head and King) If 2 cards are drawn from a pack, for independence the 1st card must be replaced before the 2nd is drawn. P(2 Kings)

  6. H H T H T T 1st toss 2nd toss Tree diagram Biased coin with head twice as likely as tails P(HH) P(HT) P(TH) P(TT) Think about What is the sum of these probabilities? Total = 1 P(same result on both tosses) Total = 1 P(different results on the tosses)

  7. Reflect on your work Explain what is meant by the term ‘mutually exclusive’, and give an example. What is the law of probability that can be applied to mutually exclusive events? What does the Venn Diagram of two mutually exclusive events look like?What does it look like if the events are not mutually exclusive? Explain what is meant by the term ‘independent’, and give an example. What is the law of probability that can be applied to independent events? Explain how the laws of probability are applied in a tree diagram.

More Related