Baseball probability combs question (1 Viewer)

[Thylacine]

A squad of 8 is chosen at random from 3 baseball teams with 10 players in each team.
Find the probability that Joe from the B team and Dan from the A team will be chosen.

My answer: (28C6 . 2C2)/ 30C8 = 28/435


The answer is supposed to be 1/10.

Can anyone help?

 

[braintic]

A squad of 8 is chosen at random from 3 baseball teams with 10 players in each team.
Find the probability that Joe from the B team and Dan from the A team will be chosen.

My answer: (28C6 . 2C2)/ 30C8 = 28/435


The answer is supposed to be 1/10.

Can anyone help?

Your answer is right. However I've always found it frustrating trying to convince people to try 2 unit probability first.

It is just 8/30 times 7/29.

BTW, where did this question come from? Why would a baseball squad of 8 be picked? (unless it's T-ball)

 

[Thylacine]

Thanks for the feedback.
The question comes from Maths in Focus, HSC course, Book 2, 2003 by Margaret Grove p 475, Challenge exercise 12. Q10 (c)

I guess the answer in the back of the book is wrong. Grrrr
It's so frustrating when you spend ages on a question, because the editors of a textbook didn't do their job properly.

Thanks again for the confirmation and extra help.