U8P1 - Probability Review

Front

What is probability?

Back

Probability is a measure of the likelihood that an event will occur, expressed as a number between 0 and 1.

Front

What is the formula for calculating the probability of an event?

Back

The probability of an event A is given by P(A) = \frac{Number\ of\ favorable\ outcomes}{Total\ number\ of\ outcomes}.

Front

What does it mean if two events are independent?

Back

Two events are independent if the occurrence of one event does not affect the occurrence of the other.

Front

What does it mean if two events are dependent?

Back

Two events are dependent if the occurrence of one event affects the occurrence of the other.

Front

What is the probability of passing a class if you do all your work?

Back

100%.

Front

How do you calculate P(A or B)?

Back

P(A or B) = P(A) + P(B) - P(A and B).

Front

What is the formula for conditional probability?

Back

P(A | B) = \frac{P(A \cap B)}{P(B)}.

Front

What is the probability of selecting a student who does not do community service if they do not play sports?

Back

P(No Community Service | No Sports) = \frac{No\ Community\ Service\ AND\ No\ Sports}{Total\ No\ Sports}.

Front

How do you find P(Female | Part-time)?

Back

P(Female | Part-time) = \frac{Female\ AND\ Part-time}{Total\ Part-Time}.

Front

What is the probability of selecting a student who is either a Steelers fan or female?

Back

P(Steelers or Female) = \frac{(Steelers + Female) - Both}{Total\ Surveyed}.