Posted by **B.B.** on Tuesday, August 4, 2009 at 9:04am.

Jack is taking a four-item true-false test. He has no knowledge about the subject of the test and decided to flip a coin to answer the items. What is the probability that he receives a perfect score? What is the probability on a 10-item test?

Answer: 1/16 or 6.25% that he receives a perfect score .

1/1,024 0r .000976562% not likely of a perfect score on the 10-item test.

Is this correct?

Thanks.

- Math -
**bobpursley**, Tuesday, August 4, 2009 at 9:10am
Yes, however, this assumes the probabily of true and false answers are equal. On real tests, that is not true.

- Math -
**bobpursley**, Tuesday, August 4, 2009 at 9:11am
on the second, you did not covert the correct fraction to percent.

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**B.B.**, Wednesday, August 5, 2009 at 12:37pm
How would I convert the correct fraction on the second answer? Thanks for your help.

- Math -
**Anonymous**, Thursday, June 17, 2010 at 3:48am
Wouldn' the second fraction convert to 9.8%?

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