document.write( "Question 1093530: Please help me solve this. A crate of soft drinks contains 9 bottles of coke, 6 bottles of Pepsi and 4 bottles of Fanta. Sandra picks one both of soft drink and therefore Juliet picks another bottle, for find the probability that,\r
\n" ); document.write( "\n" ); document.write( "They both picked Fanta.
\n" ); document.write( "Sandra only picked Fanta.
\n" ); document.write( "They both picked the same brand.
\n" ); document.write( "They picked different brand.
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19 bottles
\n" ); document.write( "probability of Fanta for first is 4/19 * probability of Fanta for second which is 3/18. Joint probability is 12/342 or 2/57.
\n" ); document.write( "Sandra picked Fanta (4/19)*(15/18), assuming that Sandra picks first. This is 60/342 or 10/57.
\n" ); document.write( "Same brand is Fanta (above) which is also 12/342; coke, which is 9/19*8/18=72/342; pepsi, which is 6/19*5/18 or 30/342. The sum is 114/342 or 1/3.
\n" ); document.write( "If they picked different brands, that would be 2/3, since it is dichotomous, meaning one or the other.
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