Compound Probability

Front

What is compound probability?

Back

Compound probability refers to the probability of two or more events happening at the same time. It can be calculated using the multiplication rule for independent events or the addition rule for mutually exclusive events.

Front

How do you calculate the total outcomes when tossing a coin multiple times?

Back

The total outcomes when tossing a coin 'n' times is calculated as 2^n. For example, tossing a coin 5 times results in 2^5 = 32 outcomes.

Front

What is the probability of getting a specific outcome when rolling a die?

Back

The probability of getting a specific outcome when rolling a die is 1/6, since there are 6 equally likely outcomes.

Front

If you roll a die twice, how do you find the probability of two specific outcomes?

Back

To find the probability of two specific outcomes when rolling a die twice, multiply the probabilities of each individual outcome. For example, P(rolling a 6 first and a number less than 5 second) = (1/6) * (4/6) = 4/36 = 1/9.

Front

What is a tree diagram in probability?

Back

A tree diagram is a visual representation that shows all possible outcomes of an event. It branches out to display the different paths and outcomes.

Front

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

Back

When rolling a die (6 outcomes) and flipping a coin (2 outcomes), the total outcomes are 6 * 2 = 12.

Front

What is the probability of rolling an even number on a six-sided die?

Back

The probability of rolling an even number (2, 4, or 6) on a six-sided die is 3/6 or 1/2.

Front

What is the multiplication rule in probability?

Back

The multiplication rule states that the probability of two independent events occurring together is the product of their individual probabilities.

Front

What is the addition rule in probability?

Back

The addition rule states that the probability of either of two mutually exclusive events occurring is the sum of their individual probabilities.

Front

If the probability of an event A is 1/4 and event B is 1/3, what is the probability of both A and B occurring if they are independent?

Back

If A and B are independent, the probability of both A and B occurring is (1/4) * (1/3) = 1/12.