Probability (Independent and Dependent Events)

1/2 x 2/6 = 1/6

A coin and a fair number cube are used in a game. The faces of the cube are labelled 1-6. What is the probability of a player getting heads and then rolling a multiple of 3?

1/6 x 0/6 = 0/6

A game is played with 2 fair number cubes. One cube has faces numbered 1-6. The second cube is numbered 4-6 with each number marked on two faces. If both cubes are tossed, what is the probability of rolling a 2 on the first cube and a 3 on the second cube?

1/6 x 3/6 = 1/12

A spinner and a fair number cube are used in a game. The spinner has an equal chance of landing on 1 of 6 colors: red, purple, blue, green, white, or orange. The faces of the cube are labelled 1 through 6. What is the probability of a player spinning the color green and then rolling an even number?

3/15 x 2/14 = 1/35

Cynthia had a bag containing 2 red, 3 green 4 purple, and 6 blue tiles. What is the probability of drawing a green tile, not replacing it, then drawing a red tile?

Complement

In this problem: P(Blue) x P(not Blue) P(not Blue) is the ___________________________.

Experimental

Landing on Heads 15 times after flipping a coin 25 times is an example of ________________________ probability.

1/2 x 1/2 x 1/2 x 1/2 = 1/16

Marcie tossed four fair coins. What is the probability that all four coins will land heads up?

2/8 x 6/7 = 3/14

Sam has a bag containing 2 blue marbles, 3 red marbles, and 3 green marbles. What is the probability of Sam pulling a blue marble, not replacing it, then pulling a marble other than blue from the bag?

1/8 x 1/6 = 1/48

The probability of drawing a red marble from a bag is 1:8. The probability of drawing a green marble from a different bag is 1:6. If a marble is drawn from each bag, what is the probability of drawing a red marble out of the first bag then a green marble out of the second bag?

Independent

The probability of flipping 3 coins is an example of a(n) _______________________ event.

Dependent event

The probability of pulling a blue marble, not replacing it, and pulling another color marble is an example of a(n) ___________________________ event.

2/4 x 2/3 = 1/3

Carrie had four different cheerleading tops: a purple tank, a purple sweater, a gold tank, and a gold sweater. What is the probability of Carrie randomly choosing a gold top on Monday, not replacing it, and then randomly choosing a purple top on Tuesday?