When a certain type of thumbtack is flipped, the probability of its landing tip up (U) is 0.66 and the probability of its landing tip down (D) is 0.34. Suppose you flip two such thumbtacks, one at a time. Make a list of all the possible arrangements using U for up and D for down. Find the probabilities of each possible outcome.

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Mathematics

22 May, 05:27

When a certain type of thumbtack is flipped, the probability of its landing tip up (U) is 0.66 and the probability of its landing tip down (D) is 0.34. Suppose you flip two such thumbtacks, one at a time. Make a list of all the possible arrangements using U for up and D for down. Find the probabilities of each possible outcome.

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Lilly Roach · Answer 1

Answer: There are 4 possibilities. They are all listed below with their percents.

You can create a tree diagram to shows all of the possibilities. It will start with 2 branches and then each of those branches will have 2 branches.

The possibilities are: UU, UD, DU, DD

To find the probabilities of each, you have to multiply the percent for each together.

UU = 0.66 x 0.66 = 0.4356

UD = 0.66 x 0.34 = 0.2244

DU = 0.34 x 0.66 = 0.2244

DD = 0.34 x 0.34 = 0.1156