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Jose is paying for a $10 meal using bills in his wallet. He has five $1 bills and four $5 bills. If he selects two bills at random, one at a time from his wallet, without replacement, what is the probability that he will choose two $5 bills to pay for the meal? Show your work.

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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\begin{array}l\color{#FF0000}{\text{RAINBOWRAINBOWRAINBOWRAINBOW}}\end{array}\begin{array}l\color{#FF7F00}{\text{RAINBOWRAINBOWRAINBOWRAINBOW}}\end{array}\begin{array}l\color{#FFFF00}{\text{RAINBOWRAINBOWRAINBOWRAINBOW}}\end{array}\begin{array}l\color{#00FF00}{\text{RAINBOWRAINBOWRAINBOWRAINBOW}}\end{array}\begin{array}l\color{#0000FF}{\text{RAINBOWRAINBOWRAINBOWRAINBOW}}\end{array}\begin{array}l\color{#6600FF}{\text{RAINBOWRAINBOWRAINBOWRAINBOW}}\end{array}\begin{array}l\color{#8B00FF}{\text{RAINBOWRAINBOWRAINBOWRAINBOW}}\end{array}
wow
aa

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