Download Conditional Probability

AP Statistics: Conditional Probability
Name_____________________
1.
Suppose that tuna comes in two types of cans: green cans and purple cans. A study revealed that
5% of all tuna is spoiled when it is sold. Further research shows that 35% of the spoiled tuna comes
in purple cans, and 60% of the good tuna comes in purple cans. If you purchase a particular can of
purple tuna, what is the probability that it is spoiled?
2.
Suppose you have two nickels in your pocket. You know that one is fair and one is two-headed. If you
take one out, toss it, and get a head, what is the probability that it was the fair coin?
3.
If you flip a fair coin twice and know that at least one head comes up, what is the probability of
there being two heads?
4.
What is the probability of drawing a jack from a 52-card deck given that you’ve drawn a face card?
5.
Suppose that 5% of the people with blood type O are left handed, 10% of those with other blood
types are left-handed, and that 40% of the total population have blood type O. If you randomly
select a left-handed person, what is the probability that this person will have blood type O?
6.
Suppose that 70% of the people with brown eyes have brown hair, 20% of the people with green eyes
have brown hair, and 5% of the people with blue eyes have brown hair. Also, suppose 75% of the
total population have brown eyes, 20% have blue eyes, and 5% have green eyes. What is the
probability that a randomly selected person with brown hair will also have green eyes?
AP Statistics: Conditional Probability
1.
Name KEY
Suppose that tuna comes in two types of cans: green cans and purple cans. A study revealed that
5% of all tuna is spoiled when it is sold. Further research shows that 35% of the spoiled tuna comes
in purple cans, and 60% of the good tuna comes in purple cans. If you purchase a particular can of
purple tuna, what is the probability that it is spoiled?
0.0289
2.
Suppose you have two nickels in your pocket. You know that one is fair and one is two-headed. If you
take one out, toss it, and get a head, what is the probability that it was the fair coin?
1/3
3.
If you flip a fair coin twice and know that at least one head comes up, what is the probability of
there being two heads?
1/3
4.
What is the probability of drawing a jack from a 52-card deck given that you’ve drawn a face card?
1/3
5.
Suppose that 5% of the people with blood type O are left handed, 10% of those with other blood
types are left-handed, and that 40% of the total population have blood type O. If you randomly
select a left-handed person, what is the probability that this person will have blood type O?
0.25
6.
Suppose that 70% of the people with brown eyes have brown hair, 20% of the people with green eyes
have brown hair, and 5% of the people with blue eyes have brown hair. Also, suppose 75% of the
total population have brown eyes, 20% have blue eyes, and 5% have green eyes. What is the
probability that a randomly selected person with brown hair will also have green eyes?
0.0183