Math Is Fun Forum

Carisma

Member

Registered: 2010-01-08

Posts: 10

Probability and Combinations/Bayes Theorem

In a class, there are 30 students. 12 students hope to go to university A, 8 students hope to go to university B, 4 students hope to go to university C and 6 students hope to go to university D.

A) 4 students are picked at random.
i) What is the probability that all 4 hope to go to university A?
ii) What is the probability that all 4 hope to go to the same university?
iii) Given that the first person picked hopes to go to university A, what is the probability that the other three hope to go to university B?

B) Find the probability that exactly 4 other students will be selected before a student who hopes to go to university C is selected.

Thank you for any help

Last edited by Carisma (2010-04-08 03:55:40)

soroban

Member

Registered: 2007-03-09

Posts: 452

Re: Probability and Combinations/Bayes Theorem

. .

. .

. . . Note that 5 students are selected.

.