A bag contains balls of various colors. If a ball is randomly selected from the bag, the probability that it will be red is 0.5 and the probability that it will be blue is 0.3. If 2 balls are selected with replacement, what's the probability that the first will be red and the second will be blue?
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There are 120 counties in Kentucky, but the probability that a county has more than 100,000 residents is only 0.05. The probability that a county has more than 100,000 residents and borders Indiana is 0.025. What's the probability that a county borders Indiana, given that it has more than 100,000 residents?
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Alex divided 10 pounds of meat between his 3 dogs, Skip, Spot, and Bo. What's the probability that Skip got 5 pounds of meat, if each dog got at least 2 pounds of meat? Assume that Alex gave each of the dogs a whole number amount of meat.
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A box contains red and blue balls that are labeled with two-digit numbers. If a ball is randomly selected, the probability that it's red is P(R) = 0.5 and the probability that it's a red ball with an even number is P(R and E) = 0.24. If R and E are independent events, what's the probability of selecting an even ball, P(E)?
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