In: Statistics and Probability
You are very bored and are guessing how many fingers your friend is holding behind her back on just one hand (so your answers are 1, 2, 3, 4 or 5). You repeat this 4 times. Find the probability of each scenario below. Keep in mind that this is a computer graded question, so be sure you are writing ONLY the solution, rounded to 4 decimal places, in the space provided.
a. The probability that you correctly guess the number of fingers 4 times in a row.
b. The probability that you guess incorrectly 4 times in a row.
c. The probability that you are wrong at least once.
d. The probability that the first time you are correct is on the 4th guess.