document.write( "Question 1155291: A person claims to have ESP​ (extrasensory perception). A coin is tossed 30 ​times, and each​ time, the person is asked to predict in advance whether the coin will land heads or tails. The person predicts correctly 60​% of the time​ (i.e., on 18 ​tosses). What is the probability of being correct 18 or more times by pure​ guessing \n" ); document.write( "
Algebra.Com's Answer #777870 by ikleyn(52803)\"\" \"About 
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document.write( "It is  P = \"sum%28C%5B30%5D%5Ek%2A0.6%5Ek%2A0.4%5E%2830-k%29%2Ck=18%2C30%29\" = 1 - \"sum%28C%5B30%5D%5Ek%2A0.6%5Ek%2A0.4%5E%2830-k%29%2Ck=1%2C17%29\" = 1 - BINOM.DIST(17,30,0.6,TRUE) = 1 - 0.4215 = 0.5785.    ANSWER\r\n" );
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document.write( "I used the probability 0.6 to guess correctly and 0.4 to guess incorrectly (according to the condition)\r\n" );
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\n" ); document.write( "\n" ); document.write( "I used Excel function BINOM.DIST to quickly calculate the expression.\r
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\n" ); document.write( "\n" ); document.write( "On Excel function BINOM.DIST, see its description everywhere, for example\r
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\n" ); document.write( "\n" ); document.write( "https://support.office.com/en-us/article/binom-dist-function-c5ae37b6-f39c-4be2-94c2-509a1480770c\r
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