57 297
Assignments Done
Successfully Done
In February 2018
Your physics homework can be a real challenge, and the due date can be really close — feel free to use our assistance and get the desired result.
Be sure that math assignments completed by our experts will be error-free and done according to your instructions specified in the submitted order form.
Our experts will gladly share their knowledge and help you with programming homework. Keep up with the world’s newest programming trends.

Answer on Statistics and Probability Question for Vlatko

Question #16030
A Lottery consists of 200 lottery tickets. There are 30 tickets with some prize and only three of them with the grand prize. Alex bought 10 tickets. Find the probability that he won at least one grand prize if he won 5 prizes.

Thanks a lot!
Expert's answer
The matter of this problem is to determine the essential conditions. They are that 3 of 30 prize tickets are with the grand prize and that Alex won 5 prizes. Other given conditions are excess.

We can choose 5 prize tickets (maybe with grand prizes) from 30 prize tickets in a C(30,5) ways and we can choose 5 prize tickets without grand prize in C(30-3,5) = C(27,5) ways. Therefore,

P(no grand prize in 5 prize tickets) = C(27,5)/C(30,5) = 115/203.

P(at least 1 grand in 5 prize) = 1 - P(no grand in 5 prize) = 1 - 115/203 = 88/203.

So, probability that he won at least one grand prize if he won 5 prizes is 88/203.

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!


Assignment Expert
15.10.2012 08:35

You're welcome. We are glad to be helpful.
If you really liked our service please press like-button beside answer field. Thank you!

14.10.2012 07:05

tnx. a lot!

Leave a comment

Ask Your question