Probability Review

Suppose that 60% of students who take the AP Statistics exam score 4 or 5, 25% score 3, and the rest score 1 or 2. Suppose further that 95% of those scoring 4 or 5 receive college credit, 50% of those scoring 3 receive such credit, and 4% of those scoring 1 or 2 receive credit. If a student who is chosen at random from among those taking the exam receives college credit, what is the probability that she received a 3 on the exam?

• 0.125
• 0.178
• 0.701
• 0.813

What is the probability that a student does play a sport given they do not play an instrument? 

• .2
• .2222
• .10
• .5

What is the probability that a student plays an instrument 

• .55
• .5
• .45
• .4

What is P(Red given blue)?

• 50%

• 26.7%

• 57.1%

• 46.7%

What is P(two blues)?

• 50%

• 26.7%

• 15.2%

• 53.3%

What is P(T given C)?

• 45%

• 29.6%

• 40%

• 33.3%

What is P(Spanish given Girl)?

• 30%

• 60%

• 50%

• 15%

What is P(Ace given hearts)?

• 1.9%

• 7.7%

• 25%

• 6.3%

Suppose that A and B are two independent events with P(A) = .2 and P(B) = .4. 
P(A∩B^C) is

• .08
• .12
• .52
• .60

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