G5211 - Introduction to Probability - Events and their probabilities
- Created by: callumdavidwatts
- Created on: 05-01-17 15:32
C | N | F | Q | I | Y | L | J | I | S | D | E | N | S | H | T | T | B | V | L | B |
S | D | M | U | T | U | A | L | L | Y | E | X | C | L | U | S | I | V | E | Q | A |
J | K | Q | M | B | C | D | C | L | B | O | S | P | C | B | D | I | S | L | X | R |
F | D | M | I | U | N | P | J | P | I | Q | T | C | G | C | L | J | M | E | N | C |
U | E | T | H | X | A | U | W | M | Q | V | F | L | W | X | E | X | H | F | F | O |
A | D | D | I | T | I | O | N | L | A | W | F | V | D | N | I | Q | V | I | S | N |
P | E | Y | G | I | K | X | X | I | E | I | A | A | V | I | F | A | N | X | Q | E |
U | Y | O | Y | G | A | P | E | I | V | H | P | O | R | C | A | B | O | R | J | O |
B | N | J | I | C | L | G | A | L | F | G | J | S | F | G | M | K | B | D | F | I |
U | F | D | C | R | C | Y | J | W | K | A | G | W | E | O | G | V | M | M | X | U |
G | O | S | A | M | P | L | E | S | P | A | C | E | Y | B | I | V | V | X | J | I |
M | H | S | T | R | O | P | E | S | J | C | U | O | K | G | S | S | G | C | P | Q |
L | W | F | K | E | J | M | Q | M | Y | F | D | D | Q | E | P | B | O | M | M | O |
R | T | X | C | V | N | H | O | V | U | N | P | O | S | K | K | K | O | B | V | V |
G | K | T | K | X | G | A | N | L | F | F | U | A | X | R | V | E | N | W | F | L |
J | R | N | S | B | B | X | K | Y | L | E | Q | K | W | M | T | S | D | W | M | O |
G | R | E | E | O | L | U | K | I | N | H | C | L | S | K | R | X | N | M | V | C |
N | D | V | P | R | O | B | A | B | I | L | I | T | Y | S | P | A | C | E | D | A |
R | F | E | C | M | E | G | N | J | G | T | D | S | A | C | W | D | T | F | D | K |
U | P | W | Q | H | Q | A | J | U | E | M | R | B | D | W | T | P | C | P | P | P |
T | A | Q | G | X | J | R | A | A | T | V | U | P | L | W | D | G | C | L | M | W |
Clues
- A collection of events is this if it satisfies the following properties: 1. the sample space is an element, 2. if A is an element then so is A composite, 3. if A,B,C are elements then so is AUBUCU... (5, 5)
- For any finite collection of these type of events A,B,... P(union of events)=Sum of the probability of events. If they are this P(AUB)=P(A)+P(B) (8, 9)
- It is a subset of the sample space. (5)
- P(AUB) = P(A) + P(B) - P(AnB) (also known as the inclusion-exclusion principle) (8, 3)
- The is the triple of sample space, the sigma field and all the events in the sigma field and must satifies the Probability axioms (11, 5)
- The set of all possible outcomes of the experiment and is denoted by Ω (6, 5)
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