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f. All numerical red cards are removed, a king is drawn
g. A red king is removed, a black king is drawn
2. An auto insurance company finds that there is an 18% chance that a teenager gets into a
car accident between ages 16 and 19. There is a 34% chance that a teenager gets a traffic
ticket during this same age range. They find that the chance of getting into a car accident
and getting a traffic ticket (not necessarily because of the accident) is 10%. (Video
Solution)
a. Based on the probabilities provided, are the two events independent Perform a
calculation to justify your answer.
b. Given that a teenager gets into an accident, what is the probability that he gets a
traffic ticket
c. Why did the probability change in this way, as compared to the unconditional
probability of getting a traffic ticket
d. Given that a teenager gets a traffic ticket, what is the probability that he gets into
an accident
e. Explain, in practical terms, what your answer in d) means.
3. Let , , and be events in a sample space. Do the following: a) explain whether or
not the events are independent or dependent, and b) answer the questions below regarding
these events with the information provided. Assume the first event listed in each
probability statement occurs first (e.g. ( ) means occurs first). (Video
Solution)
a. ( )
b. ( )
c. ( )
( )
( )
( )
( )
( )
( )
4. Gregor Mendel was a monk who, in 1865, suggested a theory of inheritance based on the
science of genetics. He identified heterozygous individuals for flower color that had two
alleles (one r = recessive white color allele and one R = dominant red color allele). When
these individuals were mated, ¾ of the offspring were observed to have red flowers and
¼ had white flowers. The table summarizes this mating; each parent gives one of its
alleles to form the gene of the offspring.
Parent 2
Parent 1 r R
r rr rR
R Rr RR
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