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 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 drawing a red counter from a bag containing 3 red and 7 blue counters?

Back

The probability is P(red) = 3/(3+7) = 3/10.

Front

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

Back

For two dependent events A and B, the probability is P(A and B) = P(A) * P(B|A), where P(B|A) is the probability of B given A has occurred.

Front

What is 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

What is the probability of picking a black pen from a box containing 3 red, 4 black, and 2 green pens?

Back

The probability is P(black) = 4/(3+4+2) = 4/9.

Front

If the probability of an event is 0.5, what does this indicate about the event?

Back

A probability of 0.5 indicates that the event is equally likely to occur or not occur.

Front

What is the total probability rule?

Back

The total probability rule states that the total probability of an event can be found by considering all possible ways that event can occur.

Front

How do you find the probability of the complement of an event?

Back

The probability of the complement of an event A is given by P(A') = 1 - P(A).