Question

You have twice as many red balls as blue balls. If the probability of drawing a matched pair (same color) of balls is the same as the probability of drawing a mismatched pair (different color), then how many balls do you have in total? (assume that you have at least one ball and both the drawings are without replacement)​

Answer 1

Answer:

Given that i have 6 pairs of balls where each pair contains 2 balls of the same colour in the bag. So the bag would contain RR, GG, BB, PP, YY, WW (red, green, blue, pink, yellow, white).

Whats the probability of finding atleast one pair when

a) 1 Ball has been drawn out

b) 2 Balls have been drawn out

c) 3 Balls have been drawn out

d) 4 Balls have been drawn out

etc up to 12 balls in total,

I'm not necessarily looking for the answer but rather the methodology behind solving a problem like this.

Thanks!