Sample Space and Probability

Front

What is a sample space in probability?

Back

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

Front

How do you calculate the total number of outcomes when combining two independent events?

Back

Multiply the number of outcomes of each event. For example, tossing a coin (2 outcomes) and rolling a die (6 outcomes) results in 2 x 6 = 12 outcomes.

Front

What is the probability of an event?

Back

The probability of an event is the number of favorable outcomes divided by the total number of possible outcomes.

Front

If a word has repeated letters, how do you calculate the probability of selecting a specific letter?

Back

Count the total letters and the occurrences of the specific letter. The probability is the occurrences divided by the total letters.

Front

What is the sample space for flipping two coins?

Back

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

Front

How do you find the probability of selecting a specific type of person from a group?

Back

Divide the number of people of that type by the total number of people in the group.

Front

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

Back

P(A) = Number of favorable outcomes for A / Total number of outcomes.

Front

What is the probability of choosing a letter other than 'A' from the word 'ALGEBRA'?

Back

The probability is 5/7.

Front

How many outcomes are there when rolling a die and tossing a coin?

Back

There are 12 outcomes.

Front

What is the sample space for the combinations of sandwiches and drinks?

Back

The sample space is {TW, TM, CW, CM, PW, PM}.