# e3p - Math 127A(Practice nal exam December 6 2010 The...

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Math 127A (Practice final exam) December 6, 2010 The practice exam has problems. It is about the same length as the actual exam. It does not represent every type of problem. 1. A die is rolled 4 times. (a) Are the rolls independent? (b) Find the probability that all four rolls are a five. (c) Find the chance that at least one roll is a five. (d) Find the probability that at least three fives are rolled. 2. Three cards are dealt of the top of a deck. Find the chance that (a) the second card is a queen; (b) all three cards are queens; (c) none of the cards is a queen; (d) not all three cards are queen. 3. Four draws will be made from the box 1 2 2 3 3 . Find the chance that a 2 is drawn at least once. 4. Suppose that there is a 50% chance that a child is male. Of all families that have 4 children, what proportion have more boys than girls.
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