Chip Green
What is the probability that you both draw at least one green chip? ?
Cup A has 50% pink balls and 50% green balls. Cup B has 50% orange balls and 50% green balls. You and you friend both draw one chip from each bowl. What is the probability that you both draw at least one green ball?
the problem has a catch in it. the NUMBER of balls is not specified. the number of balls is therefore assumed to be practically infinite, i.e. the proportions remain 50:50 with the limited withdrawals
P(you do NOT draw any green ball)
= 0.5*0.5 = 0.25
thus P(you draw at least 1 green ball) = 1 - 0.25 = 0.75
Same for friend
Thus P(both you & friend draw at least 1 green ball)
= 0.75*0.75 = 0.5625 or 56.25 %
P.S. it is sen that the same result is there even for a finite population. Assuming 2 green & 2 other balls in each cup, 4*4 = 16 combinations will be there n out of these, 9 will b seen to fulfill d given conditions, hence d desired probability is again 9/16 = 56.25 %
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