Topic: Game Console (Help!) | Math Help

Malik

Subscriber

There are three video game Console which is : the PAYSTATION, the WEE, and the XBOX 2?, and none of?these systems will not compatible to play other console?s games. Mr Frank?has three children, Andy, Bill and Cathy.
Andy?owns a PAYSTATION and a WEE, ?Bill?owns a WEE and?XBOX 2?,?and Cathy?owns a XBOX 2? and a PAYSTATION.

A store sells 4 different games for the PAYSTATION?, 6 different?games for the WEE, and 10 different games for the XBOX 2?. Mr Frank?does not understand the?difference between the consoles, so he walks into the store and buys 3 random games (not necessarily?distinct) and randomly hands them to his children. What is the probability that each child receives?a game that he can play?

ChiefMathGuru

Subscriber

Hahaha so funny! But the solution is easy?

The key for this question is ??Mr Frank?does not understand the?difference between the consoles, so he walks into the store and buys?3 random?games (not necessarily?distinct) and randomly hands them to his children. ?
Since the games are not necessarily distinct, probabilities are independent. Considering?the possibilities that each child receives a game that he or she can play, we will get the simple multiplication :

(4 + 6)/(4 + 6 + 10)??(4 + 10)/(4 + 6 + 10)??(6 + 10)/(4 + 6 + 10) = 10/20 ? 14/20?? 16/20 =?7/25

?

Jay Joshi

Subscriber

First Mr.Frank has probability to pick up game console as below:

P(paystation)=4/20, P(Wee)=6/20,p(XBox)=10/20

Andy knows to play Paystaion and Wee so Probablity that Andy will have right game is P(Andy)=4/20+6/20

As above P(Bill)=6/20+10/20

P(Cathy)=10/20+4/20

These events are independent of each other So We get P=P(Andy)*P(Bill)*P(Cathy)=2240/8000=7/25

Jay Joshi

Subscriber

Oh I and Sir Tom Sawyer Post at approximate the same time.But he was first to answer with 3 minutes.Nice Sir!

Malik

Subscriber

tysm CMG and sir Jay. I really like both of your solution. Yes, the correct answer is 7/25. Who do I choose for the best answer? hmm I like sir Jay?s more, but sir CMG answer its first. CMG is totally great, fast and efficient.
but I will select sir Jay as the best answer. Sorry CMG!!

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