Probability of compound events

Define independent events in probability.

• Events that cannot occur at the same time.

• Events where the occurrence of one event does not affect the occurrence of another event.

• Events that are mutually exclusive.

• Events that are dependent on each other.

What is the probability of drawing a number 4 from a set of 6 numbered balls?

• 1/6

• 1/4

• 1/3

• 1/2

Define dependent events in probability.

• Events that occur independently of each other.

• Events where the occurrence of one event affects the occurrence of another event.

• Events that are mutually exclusive.

• Events that have no effect on each other.

What is the probability of a compound event?

• The probability of a compound event is the likelihood of two or more events happening together, calculated by adding the probabilities of the individual events.

• The probability of a compound event is the likelihood of two or more events happening together, calculated by multiplying the probabilities of the individual events if they are independent.

• The probability of a compound event is always 1, as it includes all possible outcomes.

• The probability of a compound event is the likelihood of a single event occurring. It is calculated by dividing the number of favorable outcomes by the total number of outcomes.

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

• 1/3

• 1/4

• 1/2

• 2/3

What is a tree diagram in probability?

• A visual representation of all possible outcomes of an event, showing the paths that can be taken.

• A method for calculating the mean of a data set.

• A type of graph used to display the frequency of events.

• A diagram that represents the relationships between different variables.

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

• Use the formula: P(at least one) = 1 - P(none).

• Calculate the sum of probabilities of all events.

• Multiply the probabilities of all events together.

• Use the formula: P(at least one) = P(event1) + P(event2) + ... + P(eventN).

If you roll a die, what is the probability of rolling a 4?

• 1/2

• 1/3

• 1/6

• 1/4

If a die is rolled and a coin is flipped, how many total outcomes are there?

• 8 total outcomes (4 outcomes from the die and 2 from the coin: 4 * 2 = 8)

• 10 total outcomes (5 outcomes from the die and 2 from the coin: 5 * 2 = 10)

• 12 total outcomes (6 outcomes from the die and 2 from the coin: 6 * 2 = 12)

• 14 total outcomes (7 outcomes from the die and 2 from the coin: 7 * 2 = 14)

How do you calculate the probability of drawing a blue marble and flipping heads?

• 1/4

• 1/6

• 1/9

• 1/3