Probability Fundamental Counting Theory

The measure of the likelihood that an event will occur. The chance that an event will happen. A ratio of chance/all chances.

• odds

• probability

• outcomes

• tree diagram

A set of all possible outcomes of one or more events. Ex. {1,2,3,4,5,&6}

• Independent Events

• Outcome

• Probability

• Sample Space

the outcome of the second event does not depend upon the outcome of the first event

• sample space

• dependent

• independent

• impossible

the outcome of the first event affects the outcome of the second event

• equally

• independent

• dependent

• certain

Fundamental Counting Principle:

A particular model at a New Car Dealership comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?

(a)  

• 60

• 180

• 23

• 12

• 126

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

(a)  

• 80

• 15

• 40

• 10

• 880

The set of all possible outcomes is called

• the sample space.

• the probability.

• the fundamental counting principle.

• subjective probability.

A box contains 3 brand A batteries and 7 brand B batteries. 30% of brand A batteries are faulty and 40% of brand B batteries are faulty. A battery is selected at random and then checked to see if it is faulty. What is the probability that a faulty brand B battery is selected?

• 0.28

• 1/4

• 0.42

• 0.21

James starts to draw a diagram for rolling two dice and recording whether a 6 is rolled or not. What is the probability of rolling no sixes?

• 25/36

• 10/12

• 2/12

• 2/36

A bag contains 3 lemons and 2 limes. A piece of fruit is taken from the bag and not put back. Then a second piece is taken. What is the probability of taking exactly 1 lemon?

• 12/20

• 6/20

• 2/20

• 18/20