Tree Diagram Review

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 an event?

Back

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

Front

What does it mean if an event is independent?

Back

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

Front

What is the probability of not being goalie if the probability of being goalie is 0.3?

Back

The probability of not being goalie is 1 - 0.3 = 0.7.

Front

What is the probability of rolling a 5 or 6 on a fair six-sided die?

Back

The probability is 2/6 or 1/3, since there are 2 favorable outcomes (5 and 6) out of 6 possible outcomes.

Front

What is the complement of an event?

Back

The complement of an event is the probability that the event does not occur, calculated as 1 minus the probability of the event.

Front

How do you find the probability of exactly one event occurring in multiple trials?

Back

Use the binomial probability formula: P(X=k) = (n choose k) * p^k * (1-p)^(n-k), where n is the number of trials, k is the number of successful events, and p is the probability of success.

Front

What is a fair die?

Back

A fair die is a die that has an equal probability of landing on any of its faces, meaning each face has a probability of 1/6.

Front

If the probability of a candle being damaged is 0.1, what is the probability of it not being damaged?

Back

The probability of the candle not being damaged is 1 - 0.1 = 0.9.

Front

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

Back

The probability is 2/6 or 1/3, since the favorable outcomes are 1 and 2.