probability jeopardy. basic probability mut. exc. events ind. events dep. events cond. prob. at...

PROBABILITY JEOPARDY

Basic

Probability

Mut.

Exc.

Events

Ind.

Events

Dep.

Events

Cond.

Prob.

At least

Prob.

200 200 200 200 200 200

400 400 400 400 400 400

600 600 600 600 600 600

800 800 800 800 800 800

1000 1000 1000 1000 1000 1000

Basic - 200

• When a card is drawn from a standard deck of cards, what is the probability of getting jack?

Back to gameboardAnswer

Basic - 400

• In a certain group of people, the chances of a person suffering a heart attack are 55%. If a person is selected at random what is the probability that he will not suffer a heart attack?


Basic - 600

• When two standard 6-sided dice are rolled, find the probability of getting a sum that is less than 12.


Basic - 800

• At a men’s clothing store, 12 men purchased blue golf sweaters, 8 purchased green sweaters, 4 purchased gray sweaters, and 7 bought black sweaters. If a customer is selected at random, find the probability that he purchased a sweater that was not black.


Basic - 1000

• A single 6 sided die is rolled. Find the probability of getting a prime number.


Mutually Exclusive - 200

• When a single card is drawn from a standard deck of cards, what is the probability of getting a 5 or a king?



• When a single card is drawn from a standard deck of cards, what is the probability of getting a 2 or a red card?



• The probability that a person owns a microwave oven is 0.75, that a person owns a CD player is .25 and that a person owns both a microwave and a CD player is 0.16. Find the probability that a person owns either a microwave or a CD player but not both.



• A sheriff needs new tires for his road patrol cars. The probability that he will purchase Michelin, Goodyear, or Uniroyal tires is, respectively, 0.20, 0.30 and 0.40. What is the probability that he will not purchase any of these brands?


Mutually Exclusive - 1000 In the following table, students are classified

according to their class and their favorite pizza topping:

Anchovies Onions Mushrooms Hamburger

Fresh 7 6 7 3

Soph 1 9 0 9

Junior 3 2 5 8

Find the probability that if a student is selected at random he is a freshman or junior or likes onions.


Independent - 200

• Find the probability that when tossing a coin 2 times you will get tails both times.


Independent - 400

• A coin is tossed and a card is drawn from an ordinary deck of cards. Find the probability of getting a head on the coin and a red card.


Independent - 600

• Of the physics graduates of a university, 30% received a starting salary of $30,000 or more. If 5 of the graduates are selected at random, find the probability that all had a starting salary of $30,000 or more.


Independent - 800

• Of the members of Blue River Health Club, 75% exercise on a regular basis. If 4 members are selected at random, find the probability that none of them exercise on a regular basis.


Independent - 1000

• Three cards are drawn from a deck of cards with replacement. Find the probability that all three cards were clubs.


Dependent - 200

• A bag contains 10 red and 6 blue marbles. A person selects two marbles without replacement. Find the probability of selecting 2 blue marbles.


Dependent - 400

• A flashlight has a total of 6 batteries, two of which are defective. If two batteries are selected at random without replacement, find the probability that both are defective.


Dependent - 600

• In a department store, there are 12 customers, 9 of whom buy at least one item. If 5 customers are selected at random, find the probability that all will buy at least one item.


Dependent - 800

• A pet store has seven puppies, including 4 poodles, 2 labs, and 1 retriever. If Mrs. Jeffrey selects two puppies one at a time without replacement, what is the probability that she will select one of each a poodle and a lab.


Dependent - 1000

• What is the probability that a husband, wife and daughter all have the same birthday? (Express answer as a fraction)


Conditional - 200

• The probability that Sam will be accepted by the college of his choice and obtain a scholarship is 0.35. If the probability that he is accepted by the college is 0.65, find the probability that he will obtain a scholarship given that he is accepted by the college.


Conditional - 400

• The probability that Sue will live on campus and buy a new car is 0.37. If the probability that she will live on campus is 0.73, find the probability that she will buy a new car, given that she lives on campus.


Conditional - 600 A survey of students at a technical

school revealed the following employment breakdown:

Full-Time

Part-Time

Unemployed

Male 75 75 50

Female 125 75 100

Given that a male student is selected, what is the probability that he is unemployed? Back to gameboardAnswer

Conditional - 800 In the following table, students are classified

according to their class and their favorite pizza topping:

Anchovies Onions Mushrooms Hamburger

Fresh 7 6 7 3

Soph 1 9 0 9

Junior 3 2 5 8

What is the probability he likes anchovies given that he is a junior?


Conditional - 1000

• The probability that a certain concert will be well advertised is 0.80, and the probability that it will be well advertised and a great success is 0.76. What is the probability that the concert, if well advertised, will be a great success?


At Least - 200

• A coin is tossed 3 times. Find the probability of getting at least 1 head.


At Least - 400

• If a zoologist has 4 male guinea pigs and eight female guinea pigs and randomly chooses two of them for an experiment, what is the probability of getting at least one female guinea pig?


At Least - 600

• In a certain vintage aircraft, one of the engines has a 10% chance of failure on any flight. Find the probability that on 4 given flights at least one engine will fail.


At Least - 800

• If 3 eggs are randomly chosen from a carton of 12 eggs of which 3 are cracked find the probability that at least one of them will be cracked.


At Least - 1000

• A jar contains 15 numbered balls that are identical except for the numbers 1 – 15. Suppose that you remove 4 balls randomly without replacement. What is the probability that at least one ball will have an even number?


Answer for Basic -200

4( )

521

13

P Jack

or

Back to gameboard

Answer for Basic - 400

1 .55

.45

Back to gameboard


total in sample space: 36

only one way to get a 12

1 1-

3635

36

Back to gameboard


Total: 31

non-black: 24

24

31Back to gameboard


Primes: 2, 3, 5

3

6

Back to gameboard

Answer for Mutually Exclusive - 200

(5) ( )

4 4

52 528

or .15452

P P king

Back to gameboard


(2) ( ) (2 and )

4 26 2

52 52 5228

.53852

P P R P R

Back to gameboard


( ) ( ) ( and )

.75 .25 .16

.84

P m P cd P m cd

Back to gameboard


1 ( or or )

1 .20 .30 .40

1 .90 .10

P M G U

Back to gameboard


50.83

60

Back to gameboard

Answer for Independent - 200

1 1 1

2 2 4

Back to gameboard


1 26 1

2 52 4

Back to gameboard


5.30 .00243

Back to gameboard


4

1 .75 .25

1.25 or .0039

256

Back to gameboard


313 1

or .01562552 64

Back to gameboard

Answer for Dependent - 200

6 5

16 1530 1

or .125240 8

Back to gameboard


2 1

6 52 1

or .06730 15

Back to gameboard


9 8 7 6 5

12 11 10 9 815120

or .15995040

Back to gameboard


4 2 2 4

7 6 7 616

or .3842

Back to gameboard


365 1 1

365 365 365365 1

or 48627125 133225

Back to gameboard

Answer for Conditional - 200

.35( )

.657

or .53813

P s a

Back to gameboard


.37( )

.73.507

P n c

Back to gameboard


50 1( ) or

200 4P u m

Back to gameboard


3 1( ) or

18 6P A J

Back to gameboard


.76( ) or .95

.80P s a

Back to gameboard

Answer for At Least - 200

1 (no heads)

1 1 1 71-

2 2 2 8

P

Back to gameboard


1 (no females)=

4 3 101

12 11 11

P

Back to gameboard


1 no failures

1 .90 .90 .90 .90

34.39%

Back to gameboard


1 (no cracked)

9 8 71

12 11 10

.618

P

Back to gameboard


1 no even

8 7 6 51

15 14 13 12

37

39

P

Back to gameboard

probability jeopardy. basic probability mut. exc. events ind. events dep. events cond. prob. at...

Documents