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August 19th, 2017, 06:12 AM  #1 
Member Joined: Jul 2017 From: europe Posts: 51 Thanks: 0  Icecream problem
Hello buddies, I am in big struggle to solve the following mathematical problem. I will try to translate it in English the best I can. (I will make additional corrections or explanation upon the translation, if that is required in order to make everything clear). Here I go: We have 5 types of icecream: vanilla, banana, coconut, chocolate, forest fruits. And we have 4 types of syrup: strawberry, raspberry, blueberry, caramel. A person buys a portion of icecream (we have random choice here!) . The portion contains three different types of icecream and two different types of syrup. What is the probability (in percents) of portion containing banana icecream and caramel syrup? Please, help me, my head hurts. A clear, stepbystep solution and remark of the applied formulas will be very appreciated...... 
August 19th, 2017, 06:19 AM  #2 
Math Team Joined: Jul 2013 From: काठमाडौं, नेपाल Posts: 872 Thanks: 60 Math Focus: सामान्य गणित 
For icecream, he can choose 3 different type out of 5. So there is 3/5 probability of containing banana icecream. For syrup, he can choose 2 different type out of 4. So there is 2/4 probability of containing caramel syrup. Hence, the probability of containing banana icecream and caramel syrup is $\displaystyle \frac {3}{5} × \frac{2}{4} =30\% $ 
August 19th, 2017, 06:26 AM  #3  
Member Joined: Jul 2017 From: europe Posts: 51 Thanks: 0  Quote:
But i am so confused now... In the textbook I have the answer, but not the solution. The answer in my textbook is: 15 %. You say: 30 %  