Sample Space

How do you represent a sample space for a coin toss?

• {Heads, Tails}

• {Heads, Heads}

• {Tails, Tails}

• {Heads, Tails, Edges}

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

• 1/2

• 1/4

• 1/6

• 1/8

What is a complementary event?

• An event that includes all possible outcomes of an experiment.

• An event that represents all outcomes not in the original event.

• An event that occurs at the same time as another event.

• An event that is impossible to occur.

What is the difference between a simple event and a compound event?

• A simple event consists of two or more outcomes, while a compound event consists of a single outcome.

• A simple event consists of a single outcome, while a compound event consists of two or more simple events.

• A simple event is always more likely than a compound event.

• A simple event can only occur once, while a compound event can occur multiple times.

Define an event in the context of probability.

• An event is a specific outcome or a set of outcomes from the sample space.

• An event is a random number generated from a probability distribution.

• An event is the total number of possible outcomes in a sample space.

• An event is a situation where no outcomes occur.

What is the probability of getting heads in a single coin toss?

• 1/4 or 25%

• 1/2 or 50%

• 3/4 or 75%

• 1/8 or 12.5%

How do you find the sample space for rolling two dice?

• The sample space consists of all ordered pairs (1,1) to (6,6), totaling 36 outcomes.

• The sample space consists of all even numbers from 1 to 12.

• The sample space consists of all prime numbers from 1 to 12.

• The sample space consists of all odd numbers from 1 to 12.

What does it mean if two events are independent?

• The occurrence of one event affects the occurrence of the other.

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

• Two events are independent if they occur at the same time.

• Two events are independent if they are both impossible.

Define a theoretical probability.

• Theoretical probability is the probability calculated based on the possible outcomes in a perfect scenario.

• Theoretical probability is the likelihood of an event occurring based on past data.

• Theoretical probability is the probability that is determined through experimental trials.

• Theoretical probability is the chance of an event happening in real-world conditions.

Explain the concept of equally likely outcomes.

• Equally likely outcomes are outcomes that have the same chance of occurring.

• Equally likely outcomes are outcomes that are impossible to occur.

• Equally likely outcomes are outcomes that are guaranteed to happen.

• Equally likely outcomes are outcomes that are dependent on previous events.