Simple Dependent Independent Events

the outcome of the first event affects the outcome of the second event

• equally

• independent

• dependent

• certain

One outcome or collection of outcomes

• simple event

• experimental probability

• theoretical probability

• fundamental counting principle

The outcome of one event does affect the outcome of the second event.

• Dependent event

• Compound events

• A sample space

• Independent event

The outcome of one event does not affect the outcome of the second event.

• Dependent event

• Compound events

• A sample space

• Independent event

Probability with one single event is called ______________.

• Simple event

• Compound events

• A sample space

• Independent event

Two or more simple events is called ______________.

• Dependent event

• Compound events

• A sample space

• Independent event

A random survey of 131 high school students was conducted on April 25. The results are shown in the table. Let A = being male and B = have completed ALL DLD assignments for 5 weeks. Are the events independent? Explain.

• P(A) = 0.42, P(B) = 0.62, P(A and B) = 0.26

  P(A) x P(B) = 0.26 Since P(A) x P(B) = P(A and B), the events are independent.

• P(A) = 0.42, P(B) = 0.62, P(A and B) = 0.26

  P(A) x P(B) = 0.26 Since P(A) x P(B) = P(A and B), the events are not independent.

• This cannot be determined since the number of males surveyed is not equal to the number of females surveyed.

• P(A) = 0.42, P(B) = 0.62, P(A and B) = 0.26 and P(A or B) = 0.78 so the events are independent.

Use the probabilities in the Venn Diagram to determine if the events A and B are independent.

• A and B are independent because (0.25)(0.6) = 0.15.

• A and B are not independent because (0.25)(0.6) = 0.15.

• A and B are not indepedent because (0.4)(0.75) = 0.3 not 0.15.

• A and B are indepedent because (0.4)(0.75) = 0.3 not 0.15.

The outcome of one event does not influence the outcome of the other event.

• independent event

• tree diagram

• simple event

• odds

A bag contains some red-colored and some blue-colored marbles. First a red-colored marble is drawn and then, without replacing the first marble, a blue-colored marble is drawn. Are the two events dependent or independent?

• Independent

• Dependent