document.write( "Question 816315: A die is thrown four times. Determine the probability of throwing the following.
\n" ); document.write( "(a) zero 3's (Round your answer to four decimal places.)
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\n" ); document.write( "\n" ); document.write( "(b) one 3 (Round your answer to four decimal places.)
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\n" ); document.write( "\n" ); document.write( "(c) two 3's (Round your answer to four decimal places.)
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\n" ); document.write( "\n" ); document.write( "(d) three 3's (Round your answer to four decimal places.)
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\n" ); document.write( "\n" ); document.write( "(e) four 3's (Round your answer to five decimal places.)
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Algebra.Com's Answer #491508 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
 
\n" ); document.write( "Hi,
\n" ); document.write( "Re Reply: note highlighted
\n" ); document.write( "Note: The probability of x successes in n trials is:
\n" ); document.write( "P = nCx* \"p%5Ex%2Aq%5E%28n-x%29\" where p and q are the probabilities of success and failure respectively.
\n" ); document.write( "In this case p = 1/6. q = 5/6 and n = 4 nCx = \"n%21%2F%28x%21%28n-x%29%21%29\"\r
\n" ); document.write( "\n" ); document.write( "A die is thrown four times. Determine the probability of throwing the following.
\n" ); document.write( " (a) zero 3's (Round your answer to four decimal places.) \"%285%2F6%29%5E4\" = .4823
\n" ); document.write( " P(x=0) = 4C0 = (5/6)^4
\n" ); document.write( " (b) one 3 (Round your answer to four decimal places.) \"highlight%284%29%281%2F6%29%5E1%285%2F6%29%5E3\"= .3858
\n" ); document.write( " P(x = 1) = 4C1((1/6)^1(5/6)^3
\n" ); document.write( " (c) two 3's (Round your answer to four decimal places.) \"6%281%2F6%29%5E2%285%2F6%29%5E2\"= .1157
\n" ); document.write( " P(x = 2) = 4C2((1/6)^2(5/6)^2
\n" ); document.write( " (d) three 3's (Round your answer to four decimal places.)\"4%281%2F6%29%5E3%285%2F6%29%5E1\" = .0154
\n" ); document.write( " P(x = 3) = 4C3((1/6)^3(5/6)^1
\n" ); document.write( " (e) four 3's (Round your answer to five decimal places.)\"%281%2F6%29%5E4%285%2F6%29%5E0\"= .00077
\n" ); document.write( " P(x = 4) = 4C4((1/6)^4(5/6)^0
\n" ); document.write( "Note: The probability of x successes in n trials is:
\n" ); document.write( "P = nCx* \"p%5Ex%2Aq%5E%28n-x%29\" where p and q are the probabilities of success and failure respectively. In this case p = 1/6. q = 5/6 and n = 4 nCx = \"n%21%2F%28x%21%28n-x%29%21%29\"
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