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Mathematical Concepts - Worksheet #2 | MAT 117, Quizzes of Mathematics

Material Type: Quiz; Class: Mathematical Concepts; Subject: MAT Mathematics; University: Murray State University; Term: Unknown 1989;

Typology: Quizzes

Pre 2010

Uploaded on 08/16/2009

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Worksheet #2 Mat 117
Name........................................
Name........................................
Name........................................
Please show your work clearly and neatly. NO work NO credit! Your group size may have AT MOST 3
people.
1. A single die is rolled once. Determine the probability of rolling:
(a) a 2 or 5
(b) an odd number or a number greater than or equal to 4
(c) a number greater than 4 or less than 2
2. One card is selected from a deck of playing cards. Determine the probability of selecting:
(a) a club or a red card
(b) a card less than 8 or a club
(c) a card greater than 9 or a black card
3. Suppose at Murray State University, 55% of the students earn a degree at the end of 5 years and 25% of
the students earn a degree at the end of 4 years. What is the probability of earning a degree at MSU at the
end of four or five years?
4. Suppose three cards are drawn at random from a standard deck. What’s the probability that they are all
face cards?
5. A pile of coins consists of 10 quarters, 8 dimes, and 7 nickels. If you randomly select 3 coins from the
pile, what is the probability that you will get a quarter the 1st time, a dime the 2nd time, and a nickel the
3rd time?
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Worksheet #2 Mat 117

Name........................................

Name........................................

Name........................................

Please show your work clearly and neatly. NO work – NO credit! Your group size may have AT MOST 3 people.

  1. A single die is rolled once. Determine the probability of rolling: (a) a 2 or 5 (b) an odd number or a number greater than or equal to 4 (c) a number greater than 4 or less than 2
  2. One card is selected from a deck of playing cards. Determine the probability of selecting: (a) a club or a red card (b) a card less than 8 or a club (c) a card greater than 9 or a black card
  3. Suppose at Murray State University, 55% of the students earn a degree at the end of 5 years and 25% of the students earn a degree at the end of 4 years. What is the probability of earning a degree at MSU at the end of four or five years?
  4. Suppose three cards are drawn at random from a standard deck. What’s the probability that they are all face cards?
  5. A pile of coins consists of 10 quarters, 8 dimes, and 7 nickels. If you randomly select 3 coins from the pile, what is the probability that you will get a quarter the 1st time, a dime the 2nd time, and a nickel the 3rd time?
  1. Approximately 55% of all men are left-brained and 52% of women are left-brained. Approximately 49% of the entire U.S. population are men and 51% are women. What is the probability that a randomly selected individual in the U.S. is left-brained?
  2. According to the U.S. National Center for Health Statistics, the percentage of births done by Caesarean section in the U.S. was at a record high of 29.1% in 2004, and it’s likely to be even higher now. So, based on this data, for five randomly chosen births in the U.S., (a) What’s the probability that all five births are done by c-section?

(b) What’s the probability that none of the births are done by c-section?

  1. Two dice are rolled one after the other. Determine the probability that the sum of the dots on the dice total is: (a) 6 (b) 6 if the first die is a 1 (c) 9 if at least one of the dice is a 5 (d) a 7 or 11 if the first die is a 5
  2. Assume a hat contains five bills: a $1 bill, a $5 bill, a $10 bill, a $20 bill, and a $100 bill. Two bills are selected at random without replacement. Determine the probability that (a) both bills are $ (b) both bills are $20 bills if at least one of the bills is a $20 bill (c) both bills have value greater than $10 if the first bill is a $100 bill