Question

You have four fun things in a bag (scorpion, tarantula, centipede, and wasp). You reach into the bag and randomly grab two fun things, one after the other, keeping both. Create a tree diagram, table, or list that models the sample space for this event.

Answer 1

Answer: Here is a table that models the sample space for this event:

Scorpion Tarantula Centipede Wasp

First S1 T1 C1 W1

Second S2 T2 C2 W2

Each combination of two fun things is represented by a two-letter code. For example, "S1T2" represents grabbing the scorpion first and the tarantula second.

Here is the list of all possible outcomes:

S1S2

S1T2

S1C2

S1W2

T1S2

T1T2

T1C2

T1W2

C1S2

C1T2

C1C2

C1W2

W1S2

W1T2

W1C2

W1W2

And here is a tree diagram that shows the same information:

|----S2

|----T2

First --|----C2

|----W2

|

|----S2

|----T2

Second--|----C2

|----W2

The branches on the left represent the first fun thing that is grabbed, and the branches on the right represent the second fun thing that is grabbed.

Explanation: