247 Probability Independent Events

Determine if the scenario involves mutually exclusive events. A litter of kittens consists of one gray female, two gray males, one black female, and two black males. You randomly pick one kitten. The kitten is gray or male.

• Not mutually exclusive

• Mutually exclusive

Determine if the scenario involves mutually exclusive events. You roll a fair six-sided die. The die shows a two or a four.

• Not mutually exclusive

• Mutually exclusive

Determine whether the scenario involves independent or dependent events. You flip a coin twice. The first flip lands heads-up and the second flip also lands heads-up.

• Dependent

• Independent

Determine whether the scenario involves independent or dependent events. A basket contains four apples and four peaches. You randomly select one piece of fruit and eat it. Then you randomly select another piece of fruit. Both pieces of fruit are apples.

• Dependent

• Independent

Determine whether the scenario involves independent or dependent events. You select two cards from a standard shuffled deck of 52 cards. Both selected cards are diamonds. (Note that 13 of the 52 cards are diamonds.)

• Dependent

• Independent

Determine whether the scenario involves independent or dependent events. You roll a fair six-sided die twice. The first roll shows a six and the second roll shows a three.

• Dependent

• Independent

Determine whether the scenario involves independent or dependent events. A cooler contains twelve bottles of sports drink: four lemon-lime flavored, four orange flavored, and four fruit-punch flavored. You randomly grab a bottle. Then you return the bottle to the cooler, mix up the bottles, and randomly select another bottle. The first time, you get a lemon-lime drink. The second time, you get a fruit-punch.

• Independent

• Dependent

Determine whether the scenario involves independent or dependent events. A cooler contains fourteen bottles of sports drink: six lemon-lime flavored and eight orange flavored. You randomly grab a bottle and give it to your friend. Then, you randomly grab a bottle for yourself. You and your friend both get lemon-lime.

• Dependent

• Independent

A bag contains four red marbles and three blue marbles. Another bag contains six green marbles and seven yellow marbles. You randomly pick one marble from each bag. One marble is blue and one marble is yellow.

• 1/12 ≈ 0.083

• 1/17 ≈ 0.059

• 3/13 ≈ 0.231

• 1/4 = 0.25

A bag contains three red marbles and eight blue marbles. You randomly pick a marble and then pick a second marble without returning the marble to the bag. Both marbles are red.

• 1/4 = 0.25

• 1/12 ≈ 0.083

• 3/55 ≈ 0.055

• 5/18 ≈ 0.278