Stats - Probability

2021-01-12
2 min read
What two forms do you give answers to probability questions??
  • Decimals
  • Fractions
What does $P(\text{experiment})$ mean??

The probability of experiment.

In terms of probability, what is an experiment??

A repeatable process that gives rise to a number of outcomes.

In terms of probability, what is an event??

A set of one or more outcomes.

What is sample space??

The set of all possible outcomes.

2021-01-21

What does it mean for two events to be mutually exclusive??

The two events can’t happen at the same time.

If $A$ and $B$ are mutually exclusive, what is $P(A \text{and} B)$??

$$ 0 $$

If $A$ and $B$ are mutually exclusive, what is $P(A \text{or} B)$??

$$ P(A) + P(B) $$

What would the Venn diagram look like for two mutually exclusive events, $A$ and $B$??

PHOTO MUTUALLY EXCLUSIVE VENN DIAGRAM

What does it mean if two events are independent??

One event happening does not affect the probability of the other happening.

If $A$ and $B$ are independent, what is the probability of $P(A\text{and}B)$??

$$ P(A) \times P(B) $$

Do mutually exclusive events overlap on a Venn diagram??

No.

Do independent events overlap on a Venn diagram??

Yes.

How could you prove mathematically that two events $A$ and $B$ aren’t independent??

Show

$$ P(A \text{and} B) \neq P(A)\times P(B) $$

2021-02-04

In an experiment calculating the percentage of left-handed people, what would you say instead of right-handed??

Not left handed.


Metadata
date: 2021-01-12 09:03
tags:
- '@?stats'
- '@?probability'
- '@?year-1'
- '@?public'
- '@?school'
title: Stats - Probability
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