Stats - Probability


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.




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