Green Pair
Chances and probability question?
A dresser drawer contains one pair of socks of each of the following colors: green, brown, red, white and blue. You reach into the drawer and choose a pair of socks without looking. The first pair you pull out is green. You replace this pair and choose another pair. What is the probabilty that you will choose the green pair of socks twice?
E: You reach into the drawer and choose a pair of socks without looking.
Ω = {gg, brbr,rr,ww,blbl}
You don’t say that, but I’ll asumme that you replace the first sock!
P(g3⋂g4/g1⋂g2) = P(g3⋂g4⋂g1⋂g2)/P(g1⋂g2) = (1/625)/(1/25) = 1/25, answer!
P(g3⋂g4⋂g1⋂g2) = (2/10)*(2/10)*(2/10)*(2/10) = 16/10,000
P(g1⋂g2) = (2/10)*(2/10) = 4/100
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