Independent and Not Independent Events

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

Two marbles are drawn from a container in such a way that the first marble drawn is replaced before selecting the second marble. Does the outcome of the first draw affect the outcome of the second?

• Yes
• No

Clare picks a marble at random, puts it back, and then picks another marble at random.

• Dependent
• Independent

Clara picks a card at random, puts it back, and then picks another card at random.

• Independent
• Dependent

Pablo chooses a colored marble from a mixed bag and writes down the color. Pablo leaves it out and then draws another.

• Independent
• Dependent

Christopher picks a marble at random. Without putting the first marble back, he picks a second marble at random.

• Independent 
• Dependent

Clara brings a box of donuts to work that contains one donut in each flavor. First the secretary chooses one. Then the office manager makes a selection.

• Dependent
• Independent

Dependent or Independent:
You flip a coin and then roll a fair six-sided die.  The coin lands heads-up and the die shows a one.

• Dependent
• Independent

Dependent or Independent:
A box of chocolates contain 5 milk chocolates, 5 dark chocolates, and 5 white chocolates.  You randomly select and eat 3 chocolates.  The first piece is milk chocolate, the second is dark chocolate, and the third white chocolate.

• Dependent
• Independent

Which event is not a dependent event?

• Picking 2 students to each be line leader and door holder from a group of 20 students
• Picking 2 marbles from a bag without replacing the first marble
• Picking 2 crayons from a box at the same time (simultaneously) 
• Picking an earring, replacing it, then picking a 2nd earring