PROBABILITY

Determine if the scenario involves mutually exclusive events.

A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, it lands in region three or six.

• Mutually Exclusive

• Not Mutually Exclusive

Determine if the scenario involves mutually exclusive events.

A magazine contains twelve pages. You open to a random page. The page number is eight or ten.

• Mutually Exclusive

• Not Mutually Exclusive

Determine if the scenario involves mutually exclusive events.

A bag contains six yellow jerseys numbered one to six. The bag also contains four purple jerseys numbered one to four. You randomly pick a jersey. It is purple or has a number greater than five.

• Mutually Exclusive

• Not Mutually Exclusive

Determine if the scenario involves mutually exclusive events.

A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. It is a milk chocolate or has no peanuts inside.

• Mutually Exclusive

• Not Mutually Exclusive

 $P\left(A\right)\ =\frac{3}{10}\ P\left(B\right)\ =\ \frac{1}{2}\ P\left(A\ or\ B\right)\ =\ \frac{4}{5}$   

• Mutually Exclusive

• Not Mutually Exclusive

Determine whether the scenario involves independent or dependent events.

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

• Independent

• Dependent

Determine whether the scenario involves independent or dependent events.

A bag contains eight red marbles and four blue marbles. You randomly pick a marble and then pick a second marble without returning the marbles 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 cooler contains ten bottles of sports drink: four lemon-lime flavored, three orange flavored, and three fruit-punch flavored. Three times, you randomly grab a bottle, return the bottle to the cooler, and then mix up the bottles. The first time, you get a lemon-lime drink. The second and third times, you get fruit-punch.

• Independent

• Dependent

Determine whether the scenario involves independent or dependent events.

A box of chocolates contains five milk chocolates, five dark chocolates, and five white chocolates. You randomly select and eat three chocolates. The first piece is milk chocolate, the second is dark chocolate, and the third is white chocolate.

• Independent

• Dependent

 $P\left(A\right)\ =\ \frac{2}{5}\ P\left(B\right)\ =\ \frac{1}{5}\ P\left(A\ and\ B\right)\ =\ \frac{2}{25}$  

• Independent

• Dependent