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**Unformatted text preview: **’/ Math 317 - Exam 1: Spring 2013 TR NamezY/l‘l‘i X 'g “a”: : ' r" A’
Read each question carefully. Show all necessary work for partial credit. . A I. An experiment consists of rolling two fair six—sided die. What is the probability that: A) a sum less than or equal to 6 is rolled? B) a sum of six is rolled or one die is a two?
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'. \ K . _ | _,,..I, . l3 5 [tr :5 a?) C) a prime sum is rolled and one die is odd? a prime sum was rolled given that one die is
prime? “1 (23 [3.3” * Maze 2. An experiment consists of spinning a spinner like the one below then rollng a fair six-sided die. A) What is the sample space of equally likely‘eventsri'or experiment? __ C- . z /, g l kg ‘0 I: if“ fl, ‘ “Ta/I: “\u :I {_ I. r "y" liz- t' n ' a R F \ C9.“- ‘ Air-N ‘ 1:\ C.“ '21:: ' 1 "'i j
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. .A B) What is the probability of spinning blue or rolling a “3 "? "
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l% FE: 1 3 ,7 m. g) What is the probability of spinning red and rolling a prime number? 1;) Q") 7.; “i? L "H Hit". a 9»?- j. :. 1 .g 7 mgﬁ 3 3. A standardized math test was given to 7th and 8‘“ grade classes at a local middle school. The scores are
shown in the table below. _ A student is selected at random. Find the probability that the student:
A) scored below average. ,- B) scored above average given that they are an 8th 752.1303 / gm . /’ .1 x
A tel/rte \ Bison /. C) is a 7th grader with an average score. D) is an 8th grader or scored above average.
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A) WhaI are the odds in faxfgr of drawing a black numbered card? I“ h g i
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B) Find P(Spade I Face). ‘ (1.3) Find P(Age or Diamond). _ I:
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5/ j, 3\ "b 4 \‘H \ J: ‘13“ W 5. Two cards are drawn without replacement from a standard deck of 52 cards. What is the probability that:
A) you drew an ace and then a 10? B) at least onecard is aheart? I E I ‘
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: \kﬂlali®él / ﬁxi‘i r53 ; nag lip/631.32% 8%. C) the second card is a face card given that the ﬁrst card is the jack of clubs?
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misuse A— lug/52%,; 6. A bag contains 4 oranges, 6 lemons, and 4 limes. Two fruit are drawn without replacement. A) Draw a tree diagram to represent this experiment. B) Find P(Orange and then Lemon)
Include probabilities on the branches. 14“— X UI 1% 1 r /.f WV. '//4)L\ _ ,. O‘W‘o .2“ ﬂ, v. r \ “fort LI\ 9|”: W W J 6’ Lam. Ame C) Find P(Lime and Orange)
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ens / D) Find P(Lemon 2 l Lemon 1) E) Find P(Lime or Lemon) 7. At a certain high school, .3 ° ' . FWt of those who participate in varsity sports are female, while Matthew who do not artici ate in varsi
"'~ sports are m e. a stu ent from this school is chosen at random, ﬁnd the probability that: A) the student is male and participates in varsity B) the student is female.
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C) the student is male given they participate in varsity sports. / faces of one four-sided die display the numbers 1, 3, 8. A game consists of rolling a pair of special dice. The
e probability of 5,and8.0nthesix~sideddie,then bersonthefjicgarel 6,7 -‘ V
rollingll‘rimesum ‘ ' ...

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