Two Thumbtacks

a. From your answers in Exercise , find the probability of getting 0 ups, 1 up, or 2 ups when flipping two thumbtacks, and report the distribution in a table.

b. Make a probability distribution graph of this.

Exercise

Distribution of Two Thumbtacks When a certain type of thumbtack is flipped, the probability of its landing tip up (U) is 0.60 and the probability of its landing tip down (D) is 0.40.

Now suppose we flip two such thumbtacks: one red, one blue. Make a list of all the possible arrangements using U for up and D for down, listing the red one first; include both UD and DU.

Find the probabilities of each possible outcome, and record the result in table form. Be sure the total of all the probabilities is 1.