PROBABILITY (Mid-Chapter Review)

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PROBABILITY
(Mid-Chapter Review)
Ex 
Fill in the blanks for each of the following:
a)
b)
Ex 
Ex 
Ex 
As the number of trials of an experiment increases,
the experimental probability approaches the:
____________________
State the number of possible outcomes for each of the following:
i)
the roll of 2 dice;
____________________
ii)
the toss of 3 coins;
____________________
iii)
picking a card from a standard deck.
____________________
c)
If E is a certain event, then P(E) is:
____________________
d)
If P(E) = 0, then E is an:
____________________
e)
If P(A) = 0.3 and P(B) = 0.7, then A and B are:
____________________
Determine whether each probability is subjective, experimental, or theoretical:
a)
The probability of drawing a King from a deck of playing cards is 8%.
_________
b)
The probability that your mom will make meatloaf for dinner is 80%.
_________
c)
The probability that a goalie will stop the next shot is 0.916.
_________
Determine the probability of each of the following:
a)
rolling a sum of 8 on two dice;
b)
getting two identical tosses in the toss of two coins;
c)
drawing a face card from a standard deck.
Ten finalists are competing in a race at the Canada Games. One of the finalists is a friend
from your home town. Determine the probability that your friend will win either a gold,
silver, or bronze medal.
Ex 
Ex 
There are 15 technicians and 11 chemists working in a research laboratory. If a 4-member
safety committee is formed, determine the probability that the committee will consist of:
a)
1 technician and 3 chemists;
c)
at least 1 chemist.
all technicians or all chemists;
A restaurant owner records the frequency of customer visits in a given month. The results
are recorded in the following table:
Number of Visits
1
2
3
4 or more
Ex 
b)
Number of Customers
4
6
7
3
a)
Determine the probability that a customer ate at the restaurant more than 3 times.
b)
If 40 customers visit the restaurant in the next month, determine the number of
customers who will eat at the restaurant more than 3 times.
Mrs. McCarthy travels the same route to work every day. She has determined that there is a
0.8 probability that she will wait for a red light and that there is a 0.6 probability that she will
hear her favourite song on the radio on her way to work. Determine the probability that Mrs.
McCarthy will not have to wait at a red light and that she will hear her favourite song on her
drive to work.
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