Prob/Stats Unit 3 Flashcard B Review

Front

What is the definition of 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 calculated as P(A) = Number of favorable outcomes / Total number of possible outcomes.

Front

What does it mean for events to be independent?

Back

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

Front

What is the probability of the complement of an event?

Back

The probability of the complement of an event A, denoted as P(A'), is calculated as P(A') = 1 - P(A).

Front

How do you calculate the probability of two independent events occurring together?

Back

For two independent events A and B, the probability of both occurring is P(A and B) = P(A) * P(B).

Front

What is the concept of conditional probability?

Back

Conditional probability is the probability of an event occurring given that another event has already occurred, denoted as P(A|B).

Front

How do you calculate the probability of drawing two items without replacement?

Back

When drawing without replacement, the probability of the second draw depends on the outcome of the first draw.

Front

What is the probability of selecting an item from a group?

Back

The probability of selecting an item from a group is the ratio of the number of desired items to the total number of items in the group.

Front

What is the difference between permutations and combinations?

Back

Permutations consider the order of selection, while combinations do not.

Front

How do you calculate the probability of multiple events occurring in sequence?

Back

To find the probability of multiple events occurring in sequence, multiply the probabilities of each individual event.