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MAT 119
Quiz 4 make-up
Name ________________________________
Use pencil, please.
Place ANSWERS ONLY in the boxes.
Class Time ______________
1) If we randomly rearrange all of the letters of the word PERUKA, find the probability that it will end
with an P and start with E. (4 decimal places)
2) In a group of 35 people, find the probability that nobody has the same birthday.
(4 decimal places)
3) In a group of 35 people, find the probability that at least two people share a birthday.
(4 decimal places)
4) In a group of 7 people, find the probability that at least two people were born in the same week.
(4 decimal places)
(5 – 8) Two of the 52 cards are drawn at random from a deck (without replacement);
(answer in Fraction Form)
5) Find the probability that the first one is a Jack.
6) Find the probability that the second one is a Jack.
7) Find the probability that both are Jacks.
8) Find the probability that exactly one is a Jack.
9) If a four letter password is randomly generated from the alphabet (repetition allowed),
then find the probability that it contains letters (a,b,c) (4 decimal places)
10) If P(A) = .38 and P( A ∩ B ) =.05, then find P(B | A)
(11 – 14) A Bag contains 8 pink, 9 purple, and 4 brown chips. If two chips are selected at random without
replacement;
(FRACTION FORM, reduced)
11) Find the probability that they are both purple.
12) Find the probability that at least one is brown.
13) Find the probability that they are both the same color.
14) Find the probability that exactly one is pink.
15) If three cards are selected from a deck, then find the probability that exactly one is a spade.
(4 decimal places)
A bag of marbles is represented by the following table;
Small
Medium
Large
Red
4
2
3
Blue
5
7
1
White
7
1
5
(Assume random selection where applicable)
(FRACTION FORM, reduced)
16) Find the probability that a marble is blue
17) Find the probability that a blue marble is medium.
18) Find the probability that a small marble is not white.
(19 – 21) Let A and B be independent events. P(A) = .34 and P(B) = .45.
19) Find P( A ∩ B ).
(4 decimal places)
20) Find P(B | A).
(4 decimal places)
21) Find P( A ∪ B ).
(4 decimal places)