SOLUTION: 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 pi

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,
They both picked Fanta.
Sandra only picked Fanta.
They both picked the same brand.
They picked different brand.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
19 bottles
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.
Sandra picked Fanta (4/19)*(15/18), assuming that Sandra picks first. This is 60/342 or 10/57.
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.
If they picked different brands, that would be 2/3, since it is dichotomous, meaning one or the other.
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