Question

7.SP.L.

-- Tony has a marble jar that he likes to randomly select marbles from it to play a

game. The jar has 2 orange marbles, and 2 purple marbles. (2 points)

• When a marble is drawn, there are _2_possible outcomes.

• Write the sample space in set notation in alphabetical order: S = {_2_2_}

Write the probabilities for the events as a percent:

- Selecting an orange marble: P(orange) =

- Selecting a purple marble: P(purple) = _ %

• This is an example of a (uniform, nonuniform) probability model.

Answer 1

a) two

b) S = {Orange, Purple}

c) 50%

d) 50%

Explanation:

a)

When a marble is drawn from the jar, there are two possible outcomes. Either the marble will be orange or it will be purple.

b)

A sample space is a set of all possible outcomes of an event. Thus, the sample space in this case will be:

Sample Space = {Orange, Purple}

c)

The probability of an event is given as the number of favorable outcomes divided by the number of total outcomes.

Therefore,

Probability of selecting orange marble = P(Orange) = 1/2

P(Orange) = 0.5 = 50%

d)

Probability of selecting purple marble = P(Orange) = 1/2

P(purple) = 0.5 = 50%