Home Work Assignment 12 Phil 106 – Critical Thinking Name________________________________ Fall 2007 Section_______________________________ Instructor: Ray Darr Date_________________________________

Place the letter that corresponds to the correct word or phrase in the space provided to the left of the question.

_______1. The (a) theoretical (b) empirical (c) true (d) combined probability of an event occurring is determined by deductive reasoning, from relevant assumptions, before the event occurs.

_______2. The (a) theoretical (b) empirical (c) true (d) combined probability of an event is determined by inductive reasoning from experience.

_______3. The (a) theoretical (b) empirical (c) true (d) combined probability of an event is the probability we are trying to determine or assess.

_______4.  An event is said to be (a) dependent (b) independent (c) singular (d) combined  if the occurrence of either one has no effect on the probability that the other event will occur.

_______5.  An event is said to be (a) dependent (b) independent (c) singular (d) combined  on one or more prior events when its probability is affected by the outcome of these events.

Calculate the theoretical probability of the following events occurring.  Place the letter that corresponds to the correct word or phrase in the space provided to the left of the question

_______6. What is the probability of drawing a black card from a standard deck (52 cards) of playing cards?  (Jokers not included) (a) 1/4  (b) 1/2  (c) 1/8  (d) 1/6

_______7. What is the probability of drawing 3 black cards in a row if you place the cards back in the deck after each draw? (a) 1/4  (b) 1/2  (c) 3/8  (d) 1/8

_______8. What is the probability of drawing three black cards in a row if you do not replace the cards back in the deck after each draw? (a) 1/4  (b) 1/2  (c) 2/17  (d) 1/6

_______9. Suppose we’re flipping three coins.  What is the probability of getting two heads and one tails? (a) 1/4 (b) 1/2  (c) 3/8  (d) 1/6

_______10. S’pose there is a series of conferences that your office must attend.  There are 7 people in the office.  Each meeting requires 2 people.  How many different teams of 2 people can be formed from this office? (a) 12 (b) 51 (c) 21 (d) 14  (Hint – use your formula for calculating combinations like you did with the Illinois Lottery problem.  Note: this is not a permutation since order is not important)