Probability Question Chances?

Question

If I have a bag with 52 Balls 8 Red and 46 White and I"ve pulled out 2 Reds what are my chances of picking another red if I pull 5 more times. I know my next pull is 6/50 then 6/49 etc but what is the total chance after 5 pulls How many pulls do I have to make to get at least 50% chance of pulling a red ball. Please show equation

Answer 1

The problem is strange:

8 + 46 = 54 balls

Please restate the problem.

Answer 2

picking another red by pulling 5 more times

remaining balls : 6 red 44 white

lets calculate probability of NOT pulling red

P(all white) = 44/50*43/49*42/48*41/47*40/46*39/45*38/4...

= 44.4225364%

P(at least one red) = 1-P(all white) = 55.5774635%

And pulling 5 times garantees at least 50% of pulling red ball

use binomial probability to get

equation for probability of pulling red ball = 1- 44Pn/50Pn where P is permutation notation and n is number of pulls

P(red) = 1-44Pn/50Pn = 1- (44*(50-n)!)/(50*(44-n)!)

hope this helps