Maria plays the following game: There is a jar containing 2 gold coins, 2 silver coins, and 6 bronze coins.  She must select two coins.  She gets $2 for each gold coin she selects. She gets $1 for each silver coin she selects. She gets nothing for selecting bronze coins.  For example, if she picks one gold and one silver coin, she will get $3 total. If she picks one silver and one bronze coin, she gets $1 total. Let X be her winnings for this game. Fill in the pmf table (leave your answers here as fractions). x 0 1 2 3 4 p(x)           Compute the expected value. Write your answer as a decimal (as you would a dollar amount):

Diego began his quest in the kitchen where two peanuts dropped on the floor.  he then went into the living room and left 1/6 of his remaining peanuts on the sofa.  He then walked down the hallway and ate three, but then dropped 1/7 of his remaining peanuts in the hallway.  Diego went into his room and began to jump on the bed, and 1/2 of the remaining peanuts fell out of his pockets.  Then he went into Uncle Robert’s room and gave him 1/3 of the remaining peanuts.  He then sees he has very little left so he eats six.  By the time I catch up to him and sees me, he drops four and eats the last two.    How many peanuts did Diego start off with?  Show your work.

On Saturday, you bowl at Cherry Hill Lanes, where renting shoes costs $2 and each game bowled is $3.50. On Sunday, you bowl at  Thunderbowl where the shoe rental is $5 and each game bowled is $3.25. If you spent the same amount each day, how many games, g, were bowled?

Brad and John met up for lunch. When they were done, Brad traveled 6 blocks east and John traveled 4 blocks west. How many blocks away from Brad was John?