SOLUTION: One overnight case contains 2 bottles of aspirin and 3 bottles of thyroid tablets. A second tote bag contains 3 bottles of aspirin, 2 bottles of thyroid and 1 bottle of laxative ta

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Question 151215: One overnight case contains 2 bottles of aspirin and 3 bottles of thyroid tablets. A second tote bag contains 3 bottles of aspirin, 2 bottles of thyroid and 1 bottle of laxative tablets. If 1 bottle is taken at random from each piece of luggage, find the probability that
a. both bottles contain thyroid tablets
b. neither bottle contains thyroid tablets
c. the 2 bottles contain different tablets

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
Overnite case: 2A+3T=5bottles
Tote bag: 3A+2T+1L=6bottles
.
Both are T: 3/5 * 2/6 = 6/30 = 1/5
.
Neither are T: 2/5 * 4/6 = 8/30 = 4/15
.
Different Tablets:
A and non A: 2/5 * 3/6 = 6/30 = 1/5
T and non T: 3/5 * 4/6 = 12/30 = 2/5
1/5 + 2/5 = 3/5 Ans.
.
Ed