Question

Represent the sample space using set notation.

4) A bag contains one red marble and two
green marbles. You randomly pick a
marble and keep it to play with. Then
your friend picks a marble from the bag.

Answer 1

{(Red , Green) ; (Green , Red) ; ((Green , Green)}

Explanation:

Here ,we notice that we draw two marbles without replacement.

Then

The possible outcomes are :

• Red then Green

• Green then Red

• Green then Green

NOTE : we can’t have the outcome Red then Red ,because if you pick a red marble and keep it to play with. Then your friend has only the choice of picking a Green marble from the bag.

Therefore,

The sample space is {(Red , Green) ; (Green , Red) ; ((Green , Green)}.