document.write( "Question 168677: Two companies are bidding for two contracts,company A has a 75% chance and company B has a 25% chance. What is the probability that Company A will win both and of company A getting the first contract and Company B getting the second \n" ); document.write( "

Algebra.Com's Answer #124324 by gonzo(654) $\"\"$ $\"About$

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company A has 75% chance for winning either one singly.
\n" ); document.write( "company B has a 25% chance for winning either one singly.
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\n" ); document.write( "chance company A gets both is 75% * 75% = 56.25%
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\n" ); document.write( "chance company B gets both is 25% * 25% = 6.25%
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\n" ); document.write( "chance company A gets first and company B gets second is 75% * 25% = 18.75%
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\n" ); document.write( "chance company B gets first and company A gets second is 25% * 75% = 18.75%
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\n" ); document.write( "sum of all probabilities should = 100%
\n" ); document.write( "56.25% + 6.25% + 18.75% + 18.75% = 100%
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\n" ); document.write( "total possible combinations was:
\n" ); document.write( "2 * 2 = 4
\n" ); document.write( "that would be:
\n" ); document.write( "AA
\n" ); document.write( "AB
\n" ); document.write( "BA
\n" ); document.write( "BB
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