Homework Help for Mathematics

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Mathematics is an exact and deductive science that studies abstract entities such as numbers, geometrical figures, symbols ans their relation.

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in Mathematics·
23 Mar 2019

  1. A card is selected at random from a standard deck of 52 cards. What's the probability that it's a diamond or a king? 
        
  2. There are eight blue balls, nine red balls, and seven yellow balls in a bag. If a ball is selected at random, what is the probability that it's blue? 
        
  3. A coin is flipped five times. What's the probability that it lands on tails each time? 
        
  4. A box contains pairs of socks of various colors. If a pair of socks is selected at random, the probability that it will be black is 0.8. If two pairs of socks are selected at random with replacement, what's the probability that the first pair will be black and the second pair will not be black? 
        
  5. Suppose a student conducts an experiment that involves rolling a die once. What is the probability of rolling a number greater than 4? 
        
  6. A bag contains 18 blue marbles, 24 red marbles, 6 green marbles, and 12 yellow marbles. A marble is selected at random and replaced and a second marble is selected. What's the probability that the first marble is blue and the second marble is red? 
        
  7. How many possible pairs can be formed from a group of 16 tennis players? 
        
  8.  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? 
        
     
    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? 
        
    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. 
        
    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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