Question

help plz QAQ !!!
An box contains 20 blue balls 30 yellow balls and 50 red balls.Suppose 5 balls are drawn randomly each at a time without replacement from the urn.

let G be the event that exactly one ball is yellow and one ball is red among the 5 chosen balls.

(a)Find the probability of Event G.
(b)Find the probability of Event G given that at least three chosen balls are blue.

Answer 1

can you help me solve Question a QAQ

Answer 2

What is qaq?

Answer 3

a facial expressions mean i cry

Answer 4

Event G: Among the five chosen balls, exactly 1 ball is yellow, exactly 1 ball is red. Therefore, the remaining 3 balls must be blue. The total number of possibilities is:
\[^{30}C_1 * ^{50}C_1 * ^{20}C_3\]

Answer 5

That above goes in the numerator.
In the denominator we have total number of ways of picking 5 balls out of 100 balls:
\(^{100}C_5\)

Answer 6

so we get the answer 30C1*50C1*20C3/100C5 in question a 0.0?

Answer 7

I have not done the calculations but it will be a very small number.

Answer 8

do you know the different between Question a and b . i very confused about it ...

Answer 9

i think in the question a we can get more than 1 red ball and 1 yellow ball

Answer 10

30C1*50C1*98C3/100C5 would be the answer？

Answer 11

I thought question a said EXACTLY one ball is yellow and one ball is red.

Answer 12

but the question a and question b would be the same question?

Answer 13

Looks to me that way but I am not 100% sure.

Answer 14

a) 0.0277

http://www.wolframalpha.com/input/?i=30*50*%2820+choose+3%29+%2F%28100+choose+5%29