AP Stat - Probability Rules!

Given the probabilities P(A) =0.4 and P(A∪B) =0.6, what is the probability P(B) if A and B are mutually exclusive?

• a) 0.1

• b) 0.2

• c) 0.33

• d) 0.6

Tags

CCSS.HSS.CP.B.7

The probability that a randomly chosen American is a Republican is 0.35. What is the probability that in a sample of 10 Americans, that at least 1 will be a Republican? 

• a) 0.9865
• b) 0.2275
• c) 0.0725
• d) 0.0135

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.6

CCSS.7.SP.C.7

CCSS.7.SP.C.8

P(Freshman or Pizza):

• 27/50
• 4/50
• 3/50
• 30/50

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.4

CCSS.HSS.CP.B.7

P(Pizza ∩ Water) =

• 62/182
• 120/400
• 58/400
• 140/400

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.B.8

P(Sandals|Pants):

• 4/20
• 6/15
• 1/2
• 2/7

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.6

CCSS.7.SP.C.7

CCSS.7.SP.C.8

A group of 125 pick up truck owners were asked what brand truck they owned and whether it had four-wheel drive. The results are given in the two-way table.
You randomly select one truck owner. Which one of the following is true about the events "Owner has a Chevy" and "Owner's truck has four-wheel drive"?

• These two events are mutually exclusive and independent. 
• These two events are mutually exclusive, but not independent. 
• These two events are not mutually exclusive, but they are independent.
• These two events are neither mutually exclusive nor independent.

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.4

CCSS.HSS.ID.B.5

If I toss a fair coin five times and the outcomes are TTTTT, then the probability that tails appears on the next toss is 

• 0.5. 
• less than 0.5. 
• greater than 0.5. 
• 0.

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

At a California college, 19% of the students speak Spanish, 7% speak French, and 4% speak both languages.  A student is chosen at random from the college.  What is the probability that the student speaks Spanish if she speaks French?

• 0.220
• 0.211
• 0.040
• 0.571

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

What is P(not sport | Foreign language)?

• 23/37
• 14/23
• 14/37
• 3/23

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.3