Tui Bus 306 Module 4 Case Study

TUI University

Module 4 Case

BUS 306

Dr.Gregory Herbert

16 May 2010

1. Suppose you have  3 nickels, 2 dimes, and 6 quarters in your pocket. If you draw a coin randomly from your pocket, what is the probability that
a. You will draw a dime? 2/11
b. You will draw a nickel? 3/11
c. You will draw a quarter? 6/11
The probability of drawing any one of these coins is calculated to be the number of coins of this type divided by the total number of coins. There are 3 + 2 + 6 = 11 coins in total.
 
2. You are rolling a pair of dice, one red and one green.  What is the probability of the following outcomes:
There are 36 different outcomes out of rolling a pair of dice, because the first die has 6 possible values, and the second die has 6 possible values. 6 x 6 = 36
  a. The sum of the two numbers you roll from the dice is 8.

Red Die | Green Die |
1 | 7 |
2 | 6 |
3 | 5 |
4 | 4 |
5 | 3 |
6 | 2 |
| |
There are 6 ways of achieving the sum 8. The answer is 8/36
  b. The sum of the two numbers you roll is 12.

Red Die | Green Die |
6 | 6 |
| |
| |
| |
| |
| |

There is one way to achieve the sum of 12. The answer is 1/36

  c. The sum of the two numbers you roll is 7.

Red Die | Green Die |
1 | 6 |
2 | 5 |
3 | 4 |
4 | 3 |
2 | 5 |
| |
There is 5 ways of achieving of achieving the sum of 7. The answer is 7/36
 
3. For this question pretend you are drawing cards without replacement from the infamous "Iraq's Most Wanted" deck issued by the U.S. Military before Saddam Hussein and his gang were killed or captured.  If you are drawing from the full deck of 52 cards (no jokers), what are the following probabilities:
a. You draw a card that is not Saddam Hussein
There is only 1 card out of 52 that is Saddam Hussein, so you can possibly draw 51 cards that are not Saddam Hussein. The probability is 51/52.

b. You draw two cards, which end up being Saddam Hussein and another one with his cousin... [continues]

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