Independent and Mutually Exclusive Events Review

Determine if events A and B are mutually exclusive.

You roll a fair six-sided die. The die shows a three or a four.

•  Mutually exclusive

• Not mutually exclusive 

Determine if events A and B are mutually exclusive.

A jar contains three blue marbles numbered one to three. The jar also contains six red marbles numbered one to six. You randomly pick a marble. It is red or has an even number.

•  Mutually exclusive

• Not mutually exclusive 

Determine if events A and B are mutually exclusive.

A basket contains four apples and four peaches. Three of the apples and one of the peaches are organic. You randomly pick a fruit. It is organic or it is an apple.

•  Mutually exclusive

• Not mutually exclusive 

Determine whether the scenario involves independent or dependent events.

A bag contains five red marbles and six blue marbles. You randomly pick a marble and then return it to the bag before picking another marble. The first marble is red and the second marble is blue.

• Independent

• Dependent 

Determine whether the scenario involves independent or dependent events.

A bag contains four red marbles and seven blue marbles. You randomly pick a marble and then pick a second marble without returning the marble to the bag. The first marble is red and the second marble is blue.

• Independent

• Dependent 

Determine whether the scenario involves independent or dependent events.

A spinner has an equal chance of landing on each of its four numbered regions. You spin twice. The first spin lands in region one and the second spin lands on region three.

• Independent

• Dependent 

•  Independent 

• Dependent  

•  Independent 

• Dependent  

•  Independent 

• Dependent  

•  Independent 

• Dependent