Intro to Probability Practice

Front

What is the sample space when tossing 2 coins?

Back

The sample space is S={HH, HT, TH, TT}.

Front

Are the outcomes of tossing 2 coins equally likely?

Back

Yes, the outcomes are equally likely.

Front

How do you calculate the probability of drawing a green marble from a bag containing 3 red, 4 blue, 2 green, and 6 clear marbles?

Back

The probability is P(Green) = \frac{2}{15}.

Front

What is the probability of getting a letter that is not A from a set of 8 letters?

Back

The probability is P(Not A) = \frac{6}{8} = \frac{3}{4}.

Front

What is the probability of rolling a number less than 3 on a 6-sided die?

Back

The probability is P(Less than 3) = \frac{2}{6} = \frac{1}{3}.

Front

How do you calculate the complement of an event, such as P(Yellow^C)?

Back

If P(Yellow) = 0.25, then P(Yellow^C) = 1 - P(Yellow) = 0.75.

Front

What is the definition of a sample space in probability?

Back

A sample space is the set of all possible outcomes of a probability experiment.

Front

What is an equally likely event?

Back

An event is equally likely if each outcome in the sample space has the same probability of occurring.

Front

How do you find the probability of a single event?

Back

The probability of an event is calculated as P(Event) = \frac{Number \ of \ favorable \ outcomes}{Total \ number \ of \ outcomes}.

Front

What is the formula for calculating the probability of drawing a specific color marble from a bag?

Back

P(Color) = \frac{Number \ of \ that \ color \ marbles}{Total \ number \ of \ marbles}.