Additional Probability Problems
Additional Probability Problems
1) The American Red Cross says that about 45% of the U.S. population
has Type O blood, 40% Type A, 11% Type B, and the rest type AB.
Someone volunteers to give blood, what is the probability that this donor
1) has Type AB blood?
2) has Type A or Type B?
3) has the complement of Type O?
1) The American Red Cross says that about 45% of the U.S. population
has Type O blood, 40% Type A, 11% Type B, and the rest type AB.
Someone volunteers to give blood, what is the probability that this donor
a) has Type AB blood?
b) has Type A or Type B?
c) has the complement of Type O?
2) The
a)
b)
c)
d)
2) The
a)
b)
c)
d)
American Red Cross says . . .
all are Type O?
no one is Type AB?
at least one is Type B?
they are not all Type A?
American Red Cross says . . .
all are Type O?
no one is Type AB?
at least one is Type B?
they are not all Type A?
3) A consumer organization estimates that over a 1-year period 17% of
cars will need to be repaired once, 7% need repairs twice, and 4% will
require three or more repairs.
If you own two cars, what is the probability that
a) neither will need repair?
b) both will need repair?
3) A consumer organization estimates that over a 1-year period 17% of
cars will need to be repaired once, 7% need repairs twice, and 4% will
require three or more repairs.
If you own two cars, what is the probability that
a) neither will need repair?
b) both will need repair?
4) A slot machine has three wheels that spin independently. Each has 10
equally likely symbols: 4 bars, 3 lemons, 2 cherries, and a bell. If you
play, what is the probability
a) you get 3 lemons?
b) you get no fruit symbols?
c) you get 3 bells (the jackpot)?
d) you get no bells?
e) you get at least one bar (automatically lose)?
4) A slot machine has three wheels that spin independently. Each has 10
equally likely symbols: 4 bars, 3 lemons, 2 cherries, and a bell. If you
play, what is the probability
a) you get 3 lemons?
b) you get no fruit symbols?
c) you get 3 bells (the jackpot)?
d) you get no bells?
e) you get at least one bar (automatically lose)?
5) Suppose the police operate a sobriety checkpoint after 9 p.m. on a
Saturday night when national traffic experts suspect about 12% of
drivers have been drinking. Trained officers can correctly decide if a
person has been drinking 80% of the time. What’s the probability that
a) any given driver will be detained for drunk driving?
b) a driver who was detained has actually been drinking?
c) a driver who was released had actually been drinking?
5) Suppose the police operate a sobriety checkpoint after 9 p.m. on a
Saturday night when national traffic experts suspect about 12% of
drivers have been drinking. Trained officers can correctly decide if a
person has been drinking 80% of the time. What’s the probability that
a) any given driver will be detained for drunk driving?
b) a driver who was detained has actually been drinking?
c) a driver who was released had actually been drinking?