Math 10? 2.1 Worksheet Nane Chri\'s M Monus Provide an appropriate response 1) A

Question

Math 10? 2.1 Worksheet Nane Chri's M Monus Provide an appropriate response 1) A single six-sided die is rolled. Find the probability of rolling a number less than 2) In a survey of college students, 824 said that they have cheated on an exam and 1727 said that they have not. If one college student is selected at random, find the probability that the student has cheated on an exam 3) 3) The data in the table represent the number of consumer complaints against major U.S. airlines. If one complaint from the table is randomly selected, find the probability that it was filed against United Airlines. Airline Number of Complaints United Northwest Continental 1172 765 563 Use the fundamental counting principle to solve the problem. 4) A shirt company has 4 designs each of which can be made with short or long sleeves. There are 7 color patterns available. How many different shirts are available from this company? 4) 5) How many license plates can be made consisting of 2 letters followed by 3 digits? vide an appropriate response. 6) Classify the statement as an example of classical probability, empirical probability, or subjective probability. The probability that a train will be in an accident on a specific route is 1%. 7) Classify the statement as an example of classical probability, empirical probability, or subjective probability. The probability that interest rates will rise during the summer is 0.05 8) Classify the statement as an example of classical probability, empirical probability, or subjective probability. In California's Pick Three lottery, a person selects a 3-digit number. The probability of winning California's Pick Three lottery is 1000

Explanation / Answer

1. The possible outcomes from rolling a single six-sided die are 1,2,3,4,5 or 6.

Outcomes less than 3 are 1 and 2.

So the probability of rolling a number less than 3 = 2/6 = 0.334

2. 824 have cheated and 1727 have not cheated.

The probability that a randomly selected student has cheated = 824 / (824+1727) = 0.323

3. We have number of complaints filed:

United: 1172, Northwest:765; Continental: 563

The probability that a randomly selected conplaint is against United Airlines = 1172 / (1172+765+563) = 0.4688

4. Number of available different types of shirts = 4 x 2 x 7 = 56

5. Numbers are to be made using 2 letters followed by 3 digits.

Let us assume that letters and numbers can be repeated.

Possible combinations of letters = 26 x 26 = 676 (Each position has 26 letters to be filled with)

Possible combinations of numbers = 10 x 10 x 10 = 1000 (Each position can be filled with the digits 0 to 9)

So total number of possible number plates = 676 x 1000 = 676,000

Related Questions

Navigate

• Browse (All)
• Browse M
• Subjects

---