Type your answer in the blank and click Check Answer.

Question 3
What is the probability that the contestant guesses correctly only on the first and third times? Write your answer using probability notation.

Check Answer

Answer:
= ${\displaystyle \frac{1}{3}}$ • ${\displaystyle \frac{2}{3}}$ • ${\displaystyle \frac{1}{3}}$ = ${\displaystyle \frac{2}{27}}$
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. Go to question 4.