APS Practice - Tree Diagrams 12-12-24

Front

What is a tree diagram?

Back

A tree diagram is a graphical representation used to illustrate all possible outcomes of a probability experiment, showing the paths leading to each outcome.

Front

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

Back

To find the probability of independent events A and B both occurring, multiply their individual probabilities: P(A and B) = P(A) * P(B).

Front

What is the probability of passing a test if the probability of passing is 0.7?

Back

The probability of passing the test is 0.7.

Front

If the probability of winning a game is 0.2, what is the probability of losing?

Back

The probability of losing is 1 - P(win) = 1 - 0.2 = 0.8.

Front

What is the formula for conditional probability?

Back

The formula for conditional probability is P(A|B) = P(A and B) / P(B), where P(A|B) is the probability of A given B.

Front

How do you find the probability of drawing two cards from a deck without replacement?

Back

To find the probability of drawing two specific cards without replacement, multiply the probability of drawing the first card by the probability of drawing the second card given the first has been drawn.

Front

What is the probability of rolling a sum of 7 with two dice?

Back

The probability of rolling a sum of 7 with two dice is 6/36 or 1/6.

Front

What does it mean for events to be mutually exclusive?

Back

Mutually exclusive events cannot occur at the same time; the occurrence of one event means the other cannot occur.

Front

How do you calculate the probability of at least one event occurring?

Back

To calculate the probability of at least one event occurring, use the formula: P(at least one) = 1 - P(none).

Front

What is the probability of getting a plain crust pizza if the options are 1/2 for plain and 1/2 for stuffed?

Back

The probability of getting a plain crust pizza is 1/2.