Algebra 2 9.4 Probability of Disjoint and Overlapping Events

Front

What is the definition of dependent events in probability?

Back

Dependent events are events where the outcome of one event affects the outcome of another event.

Front

What is the definition of independent events in probability?

Back

Independent events are events where the outcome of one event does not affect the outcome of another event.

Front

How do you calculate the probability of disjoint (mutually exclusive) events?

Back

P(A or B) = P(A) + P(B) for disjoint events.

Front

How do you calculate the probability of overlapping events?

Back

P(A or B) = P(A) + P(B) - P(A and B) for overlapping events.

Front

What is the probability of selecting a diamond or a face card from a standard deck of cards?

Back

P(diamond or face card) = 13/52 + 12/52 - 3/52 = 22/52.

Front

What is the probability of selecting a shaded number or a number less than five?

Back

P(shaded number or number < 5) = 4/8 + 4/8 - 2/8 = 6/8.

Front

If you have 12 flavors of ice cream and 8 toppings, how many different combinations can you make?

Back

12 flavors x 8 toppings = 96 different ice-cream sundaes.

Front

Are the events of picking a jack and picking a heart mutually exclusive?

Back

False. They are not mutually exclusive because a jack of hearts exists.

Front

What is the formula for calculating the probability of an event?

Back

P(Event) = Number of favorable outcomes / Total number of outcomes.

Front

What does it mean for two events to be mutually exclusive?

Back

Two events are mutually exclusive if they cannot occur at the same time.