1. Suppose you have 2 nickels, 3 dimes, and 8 quarters in your pocket. If you draw a coin randomly from your pocket, what is the probability that

a. You will draw a dime?

b. You will draw a nickel?

c. You will draw a quarter?

2. You are rolling a pair of dice, one red and one green. What is the probability of the following outcomes:

a. The sum of the two numbers you roll from the dice is 9.

b. The sum of the two numbers you roll is 6.

c. The sum of the two numbers you roll is 11.

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

b. You draw two cards, which end up being Saddam Hussein and another one with his cousin "Chemical Ali".

c. You draw 14 cards and not one of them is Saddam Hussein [Note: this is a tough one. Please show your work so that even if you didn't get the right answer you can still get partial credit. Grading will be lenient on this one].

Solution Preview

1. Suppose you have 2 nickels, 3 dimes, and 8 quarters in your pocket. If you draw a coin randomly from your pocket, what is the probability that

2+3+8=13 total outcomes.

a. You will draw a dime? 3/13 = .230769 = 23.77%

b. You will draw a nickel? 2/13 = .153846 = 15.38%

c. You will draw a quarter? 8/13 = .61538 = 61.54%

2. You are rolling a pair of dice, one red and one green. What is the probability of the following outcomes?

There are 11 possible outcomes when rolling two dice (while there is a maximum roll of 12, when rolling two dice you will never get a roll of 1, therefore 11 possible outcomes). We will let r=the Red die and g=the Green ...

Solution Summary

Probability theory with coins, dice and cards are examined.

1. A die is tossed 7 times, find the chance that
(a) all rolls show 2 or less
(b) none of the rolls show 2 or less
(c) not all show 2 or less
2. A coin is tossed 4 times, find the chance that
(a) all rolls are Heads
(b) the 1st two tosses are Head and last two are Tails
(c) the 4th is a Head, given the 1st 3 are

Constuct an unique pair of dice (6 sides) so that each of the sums 2 through 12 has an equal (nonzero i.e. cannot have two dicewith all zero's) probability of occurring. The dice do not have to be identical.

If two dice are thrown, what is the probability that the first die shows a 4 or that the total on the two dice is 8?
So far in calculations:
Event A = 4/36
Event B = 5/36
(4/36 + 5/36) - 1/36 = 8/36 or 2/9 which is not the correct answer.

A game is played in which one of two players chooses a dice from a set of three die. After the first player chooses, the second player chooses a dice from the remaining two that are left. Then the two role their dice simultaneously. The player that turns up the highest number wins. In this game, however, although the dice are

Find the number of possible combinations of picking 2 items out of 6.
-------------------------------------------------------------------------------------------------------
How many permutations of answers are possible in a true-false test consisting of 10 questions?
-------------------------------------------------

Find the probability that in 200 tosses of a fair six-sided die, a five will be obtained at most 40 times.
Please provide the detail of how to calculate.

Hello again!
1. Suppose you have 3 nickels, 2 dimes and 6 qtrs in your pocket. If you draw a coin ramdomly what is the probality that a. you will draw a dime ? b. you will draw a half dollar ? c. you will draw a qtr ?
2. you are rolling a pair of dice, one red and one green. what is the probability of the following outcomes