SOLUTION: Sam's teacher gives a warm-up question every day. When it is a true-false question, he gets the answer correct 65% of the time. When it is a multiple-choice question, he gets the a

Algebra ->  Probability-and-statistics -> SOLUTION: Sam's teacher gives a warm-up question every day. When it is a true-false question, he gets the answer correct 65% of the time. When it is a multiple-choice question, he gets the a      Log On


   



Question 1161141: Sam's teacher gives a warm-up question every day. When it is a true-false question, he gets the answer correct 65% of the time. When it is a multiple-choice question, he gets the answer correct 75% of the time. It is a multiple-choice question 80% of the time, and a true-false question 20% of the time. Same answered the question correctly today, what was the probility it was a multiple-choice question?
THANK YOU in advance for any help:)

Answer by ikleyn(52866) About Me  (Show Source):
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Sam's teacher gives a warm-up question every day. When it is a true-false question, he gets the answer
correct 65% of the time. When it is a multiple-choice question, he gets the answer correct 75% of the time.
It is a multiple-choice question 80% of the time, and a true-false question 20% of the time.
Same answered the question correctly today, what was the probility it was a multiple-choice question?
THANK YOU in advance for any help:)
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    P = %280.8%2A0.75%29%2F%280.8%2A0.75+%2B+0.2%2A0.65%29 = 0.8219 = 82.19%.    ANSWER

Solved.