# Math 156

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1)Suppose you buy 1 ticket for \$1 out of a lottery of 3000 tickets. If the prize for the one winning
ticket is to be \$500, what are your expected winnings? I'm assuming the answer for this one is \$0.00

2)A basketball player with a free throw shooting percentage of 60% gets fouled and goes to the line
to shoot two free throws. What are the odds in favor of her making her first shot? Is the answer 3:5

3)Two dice are rolled. Find the odds that the score on the dice is either 10 or at most 5. Now for this one I came up with 1:2

Can someone please check if I came up with the correct answers. I'm studying for my quiz

• Math 156 -

On the first: THe expected value is 500/3000 or .17 dollars.

second: correct

third: ten can be had by 5,5, or 6,4, or 4,6 Probability is 1/36 + 2/36= 3/35
at most five means 1,1, 1,2, 1,3, 1,4, 2,3 probab is 1/36+ 2/36+2/36 + 2/36 + 2/36 or 9/36

so total prob is 12/36 or 1/3 or odd 1:2 as you deduced.

• Math 156 -

bobpursley on the first one it's a mult. choice which I have
A) \$0.00 B) -\$1.00 C) -\$0.85 D) -\$0.83 where did you get \$17 though? I don't understand this one.

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