Something to set the mood

Posted: March 3, 2011 in Problems

Problem 5: Lightsabers

Posted: March 9, 2011 in Problems

 

General Grievous

There are many different colors that lightsabers can be. Assume that 40% are blue, 30% are green, 20% are red, and 10% are any other color.

a.) Using these percentages, how many of each color would be in a group of 10 lightsabers?

b.) If General Grievous selects two lightsabers at random from this group of 10 (with no replacements), what is the probability that both of them are blue?

c.) Using that same group of 10, what is the probability that General Grievous will select a red lightsaber given that his first lightsaber picked was a green lightsaber?

Problem 4: Seating Options

Posted: March 9, 2011 in Problems

Millennium Falcon cockpit

Seating is limited on the Millennium Falcon. There are 4 seats in the cockpit (pilot, co-pilot, passenger 1, passenger 2) and 4 people riding (Luke, Obi-Wan, Han, and Chewbacca).

a.) How many different permutations of seating arrangements are there?

b.) How many of these arrangements have Han in the pilot’s seat?

c.) How many arrangements have Han in the pilot’s seat and Chewbacca in the co-pilot’s seat?

Problem 3: Password

Posted: March 3, 2011 in Problems

astrodroids

You are an astrodroid. Your masters are trapped behind a large, password-protected, door. The password consists of three numbers from 0-9 and then 3 letters from a-z.

a) How many possible passwords are there?

b) Which would reduce the possible passwords more, knowing the 3 letters or knowing the 3 numbers? How many possible passwords are there if you know those 3?

Problem 2: Luke’s Shot

Posted: March 3, 2011 in Problems

A member of the Red Squadron attempts a shot without his targeting computer. The probability of hitting the target desired is 1/64000.

a) What is the minimum number of shots needed in order to hit the target twice?

b) What is the probability of hitting two shots in a row?

Problem 1: Pod Race Probability

Posted: March 3, 2011 in Problems

Boonta Eve

On the planet Tatooine, there is an annual podrace called the Boonta Eve Classic. The course is very dangerous (with the Sand People snipers, the dangerous competitors, and the “Devil’s Doorknob”, a small hole at the end of a canyon). Typically the probability of having a crash is 1/4. This year, there are 6 racers.

a.) What is the probability that all 6 crash, if crashes are independent of one another?

b.) If there are 8 racers next year, but there is a 1/3 probability of having a crash due to bad weather conditions, what is the probability that all 8 crash?

c.) Which race will be more likely to have all of its competitors crash?