Question

Involving the selection of rats from a cage. Assume that there are 6 rats in the cage: 3 trained and 3 untrained. A rat is removed from the cage and it is noted whether or not it is trained. It is then placed in a different cage. 4 more rats are removed and treated the same way. (1) Which of the following is not a valid outcome for this experiment? A. UUUTU OB. UUTTU C. TUTUT D. TUTUU (2) How many outcomes are possible for this experiment? (Note: The tevthnok's versinn.of this nmhiem was solved on The Finite Show, You can view the streaming video of this solution at TFS solution.

Answer 1

Answer:

1) UUUTU

2) 20 possible outcomes.

Step-by-step explanation:

We have 3 trained rats (T) and 3 untrained cats (U).

1) Which of the following is not a valid outcome?

a) UUUTU is not a valid outcome because we can only have 3 U's at most.

2) How many outcomes are possible for this experiment?

We have to choose 5 rats, at the end we're going to have either 3 trained and 2 untrained (TTTUU) or 3 untrained and 2 trained (TTUUU)

To help with this, we can make a decision tree, which can be observed below.

From the image we can tell that there are 20 possible outcomes for this experiment.