Question

one red token and one black are placed in a bag.A token is drawn and the color is recorded.it is then returned to the bag and second draw is made.Represent the sample space for this experiment by making an organised list,table,and a tree diagram.

Answer 1

{RR, RB, BR, BB, RR, RB, BR, BB}

Explanation:

The tree diagram starts with both tokens, the tree diagram is attached.

Remember that from each event you must draw two branches with the events. We do that twice, becasue there are only two drawns.

The sample space would be

{RR, RB, BR, BB, RR, RB, BR, BB}

• R: Red
• B: Black