Type your answer in the blank and click Check Answer.

Question 1
What is the probability that a contestant guesses correctly only on the first door? Write your answer using probability notation.

Check Answer

Answer: = ${\displaystyle \frac{1}{3}}$ • ${\displaystyle \frac{2}{3}}$ • ${\displaystyle \frac{2}{3}}$ = ${\displaystyle \frac{4}{27}}$
The probability of getting a door correct is ${\displaystyle \frac{1}{3}}$, and the probability of getting a door incorrect is ${\displaystyle \frac{2}{3}}$. Each door's outcome is independent of the previous door. = Order does not matter in this situation. Go to question 2.