Probability Practice

Front

What is the definition of independent events in probability?

Back

Independent events are two or more events where the occurrence of one event does not affect the occurrence of the other.

Front

What is the definition of dependent events in probability?

Back

Dependent events are two or more events where the occurrence of one event affects the occurrence of the other.

Front

What is a combination in probability?

Back

A combination is a selection of items where the order does not matter.

Front

What is a permutation in probability?

Back

A permutation is an arrangement of items where the order does matter.

Front

If you roll a die and flip a coin, are these events independent or dependent?

Back

Independent Events.

Front

What is the formula for calculating combinations?

Back

C(n, r) = n! / (r!(n - r)!), where n is the total number of items, and r is the number of items to choose.

Front

What is the formula for calculating permutations?

Back

P(n, r) = n! / (n - r)!, where n is the total number of items, and r is the number of items to arrange.

Front

If Clara picks a marble, replaces it, and picks again, what type of events are these?

Back

Independent events.

Front

In a Venn diagram, what does the intersection represent?

Back

The intersection represents the elements that are common to both sets.

Front

How many ways can you arrange 4 portraits on a shelf?

Back

24 ways (4! = 4 x 3 x 2 x 1 = 24).