A thumbtack is dropped on a concrete floor. Assume that the thumbtack can land only point up (u) or point down (d), as shown in the figure below. 

If two thumbtacks are dropped, one after the other, the tree diagram at the top of next page can be used to show the possible outcomes.

(a) Do you believe that the outcomes of the thumbtack landing point up and the thumbtack landing point down are equally likely? Explain. 

(b) List the sample points in the sample space of this experiment. 

(c) Do you believe that the probability that both thumb-tacks land point up (uu) is the same as the probability that both thumbtacks land point down (dd)? Explain.

(d) Can you compute the theoretical probability of a thumbtack landing point up and the theoretical probability of a thumbtack landing point down? Explain.

Transcribed Image Text:

First Second Thumbtack Thumbtack Sample Space и ии и ud du dd