Grade 7 Math - Lattice Diagrams Flashcards

Flashcards to review lattice diagrams and probability.

What is a lattice diagram used for in probability?

To organize choices and visualize the sample space.

In the example of tossing a die and flipping a coin, what are the two independent events?

Tossing a die and flipping a coin.

How can a lattice diagram help in determining the sample space?

It organizes all possible outcomes to ensure none are missed.

What does the sample space represent in probability?

All possible outcomes of an experiment.

How do you find the probability of rolling an even number and tossing a tail?

Use the lattice diagram to count favorable outcomes and divide by the total sample space.

What is the probability of rolling a number greater than five and tossing a head?

Use the lattice diagram to count favorable outcomes and divide by the total sample space.

What is the probability of rolling a one and tossing a head?

Use the lattice diagram to count favorable outcomes and divide by the total sample space.

What is the first step to create a lattice diagram?

List the sample space (all possible outcomes).

What is the total number of outcomes when you toss a die and flip a coin?

12 (6 outcomes from the die and 2 from the coin)

In the lattice diagram example, what does '1H' represent?

Rolling a 1 on the die and flipping a head on the coin.

In the lattice diagram example, what does '6T' represent?

Rolling a 6 on the die and flipping a tail on the coin.

What is the purpose of organizing choices in a lattice diagram?

To easily interpret individual outcomes and the total sample space.

How does a lattice diagram assist in calculating probabilities?

By visually representing all possible outcomes, making it easier to identify favorable outcomes.

What are the axes of a typical lattice diagram in this context?

One axis represents the die outcomes, and the other represents the coin flip outcomes.

If an event is 'rolling a number less than 3 and tossing a tail', how would you identify this on a lattice diagram?

Look for the outcomes '1T' and '2T'.

Can a lattice diagram be used for more than two events?

While possible, it becomes more complex to visualize and interpret.

Why it's important to double-check for missed outcomes when listing the sample space?

To ensure accurate probability calculations.

What is the difference between an outcome and a sample space?

An outcome is a single result, while the sample space is the set of all possible outcomes.

How does a lattice diagram improve probability problem-solving skills?

By providing a visual and organized method to analyze possible results.

What is an alternative representation of these outcomes?

The outcomes could be displayed using a tree diagram.