[qdeck ” bold_text=”false”]
[h]SL 4.5 Concepts of trial, outcome
[q] Trial
[a] Each time an experiment is repeated.
[q] Outcomes
[a] The possible results from a trial.
[q] Sample Space
[a] The set of all possible outcomes in an experiment/trial.
[q] Event
[a] Set of outcomes of an experiment to which a probability is assigned.
[q] Realtive Frequency
[a] (No. of times an event occurs)÷(Total no. of trials)
[q] Basic Probability
[a] If all the outcomes in a trial are equally likely, and ‘A’ is an event, then: Prob. of A occurring = \(P(A) = \frac{no. of outcomes in A }{total no. of outcomes} = \frac{n(A)}{n(B)}\)
[q] Complementary Events
[a] The complement of an event (A’) is the event of A not occurring. So, for example, getting an odd number and getting an even number on a dice are two complementary events. As an event occurring, or not occurring, covers all eventualities, we get: \(P(A) + P(A’) = 1\) or \(P(A’) = 1 – P(A)\)
[q] Expected Occurrences
[a] If you repeat the same exact trial many times, then we might want to know how many times we can expect event A to occur. If we repeated a trial 12 times, with P(A) = 1/3 it is clear that A should occur 4 times on average. In fact: E(x)= np
[x] Exit text
(enter text or “Add Media”; select text to format)
[/qdeck]