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. 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

Suppose that you select two cardswithout replacement from an ordinary deck of playing cards. If the first card that you select is a spade, what is the probability that the second card that you select is a queen?
Suppose that you roll a pair of standard 6-sided dice 13 times. What is the probability that you will get a sum

Please explain to me how to do this question.
Consider a case where the probability of one object giving the desired result is not 1/2. Suppose you tossed a die (one half of a pair of dice). The probability of six dots coming up is 1/6. Now suppose you tossed the dice. Calculate the probability of only one die showing six dot

Problem 10)
You roll two fair dice, one red and one green.
a) What is the probability of getting a number less than 5 on both?
b) What is the probability of getting a sum of 9 on the two dice?
c) What is the probability of getting a 5 on both?

Calculate the following probabilities:
a) Flipping "heads" with a normal coin five times in a row.
b) Rolling a "6" with one die.
c) Rolling a "7" with two dice.
d) Drawing a jack OR a red card (with replacement).
e) Drawing an ace, followed by a king (with replacement).

A jar contains a variety of coins. The coins are distributed as follows:
60 pennies
33 nickels
27 dimes
75 quarters
For this distribution, find the probability of randomly selecting the following coins:
a) a nickel
b) a quarter, a dime or a penny
c) two quarters or two dimes, with replacemen

1. Two balanced dice are rolled and the number of dots facing up is added. Find the probability that the sum is 10 or 12.
2. Two balanced dice are rolled to see the number of dots facing up. Find the probability of observing
a) Six dots on both the dice.
b) Six dots on the first die or six dots on the second die.