Probability Test Review (Unit 8)

Deck of Cards

100

Whats the Probability of drawing a King and Red Card?

2/52 or 1/26

200

What is the Probability of Drawing a King or a 5 or a red?

30/52 or 15/26 

300

Probability of drawing two Red Cards. (Without replacement)

156/2652 or 1/17 or 0.059 or 5.9%

400

P(King | Red)

2/26 or 1/13 or 0.077 or 7.7%

500

P(Face Card or Ace | Diamond)

4/13 or .308 or 30.8%

Two Fair Dice

100

P(doubles)

1/6 or 6/36 

200

P(Sum 5 or doubles)

10/36

300

P(Largest Number is 5)

9/36

400

P(Doubles and sum 4)

1/6

500

P(Sum is 8 | Largest number is a 6)

2/11

Misc

100

Event A and B are... ?

Mutually Exclusive

200

Event A and B are ______ if and only if 

P(A) = P(A|B)

Independent 

300

The probability of the Padres Winning the Superbowl

0

400

P(A and B) = P(A) * P(B|A)

Conditional Probabilty

500

P(A^c) = 1 - P(A)

Compliment Rule

Expected Value (1)

100

P(Watches padres)

232/500

200

P(Watches Chargers or Padres)

323/500

300

P(Watches Padres and Does not watch the Chargers)

208/500

400

P(watch Chargers | watch Padres)

24/232

500

P(Watch Padres | Watch Chargers)

24/115

Expected Value (2)

100

We are selling 1,000 raffle tickets off at $1.50 each. We are giving away two Air Pods valued at $150 each, one Amazon Gift Card worth $100 and 4 Yearbooks Valued at $115.

What the Probability that you win something?

7/1,000

200

We are selling 1,000 raffle tickets off at $1.50 each. We are giving away two Air Pods valued at $150 each, one Amazon Gift Card worth $100 and 4 Yearbooks Valued at $115. 

What is a Fair Price?

$0.86

300

Will we make money?

Yes 

1500-860=$640