SOLUTION: A teacher has prepared a 6-item test with the first three items being true or false and the last three items being multiple-choice with four choices each. What is the probability t
Algebra ->
Probability-and-statistics
-> SOLUTION: A teacher has prepared a 6-item test with the first three items being true or false and the last three items being multiple-choice with four choices each. What is the probability t
Log On
Question 327193: A teacher has prepared a 6-item test with the first three items being true or false and the last three items being multiple-choice with four choices each. What is the probability that a student will score100% if every answer is chosen at random? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A teacher has prepared a 6-item test with the first three items being true or false and the last three items being multiple-choice with four choices each. What is the probability that a student will score 100% if every answer is chosen at random?
-------
P(1st three are correct) = (1/2)^3 = 1/8
---
P(last 3 are correct) = (1/4)^3 = 1/64
----
P(6 correct)= (1/8)(1/64) = 1/512
===================================
Cheers,
Stan H.
================
(