4. Question 1:
When a card is drawn from the standard deck
of cards, what is the probability that it is a face
card or an ace?
4
13
5. Question 2:
When two cards are drawn from a standard
deck of cards, one a time what is the probability
that the first card is a face card and the second
card is an ace?
With replacement:
3
169
Without replacement:
4
221
6. Question 3:
When two cards are drawn from a pack of
cards, one at a time, what is the probability that
both are face cards?
With replacement:
9
169
Without replacement:
11
221
7. Situation: Mario bought four different batteries.
Of these four, one is defective. Two are to be
selected at random for use on a particular day.
1. List the sample space.
2. Find the probability that the second battery
selected is not defective.
3. What if you find the probability that the
second battery selected is not defective,
given that the first was not defective.
10. Problem 1
The probability that Arnel studies and passes
his math test is
π
ππ
. If the probability that he
studies is
π
π
, what is the probability that he
passes the math test given that he has studied?
9
16
11. Problem 2
In a two-die experiment, what is the probability
that the sum of the numbers falling is 8 if it is
known that one of the numbers is 5?
2
11
12. Problem 3
Maria will randomly draw two cards in
succession from a standard deck of cards.
What is the probability that the second card is a
king given that the first card is a queen? How
about if the first card is a king?
4
51
1
17
13. Valuing
How can we use probability to make informed
decisions about any of the following:
β’ driving and cell phone use
β’ diet and health
β’ professional athletics
14. What I Learned
1. Conditional probability is the probability that
___________.
2. The formula for conditional probability is
___________.
15. Individual Work
1. The probability that Rose will visit the parlor
and the doctor today is
π
ππ
. If the probability
that she visits the doctor is
ππ
ππ
, what is the
probability that she visits the parlor, given
that she has visited the doctor?
3
11
16. 2. A family has two children. What is the
probability that the younger child is a
girl, given that at least one of the
children is a girl?
2
3
Individual Work
17. 3. You roll one six-sided die. What is the
probability of getting an even number
given you know the number is a prime
number?
1
3
Individual Work
18. Individual Work
4. In rolling two dice, what is the probability
that the sum of two numbers will be
greater than 9, given that the first die is
a 5?
1
3
19. Individual Work
5. You are playing a game of cards where
the winner is determined by drawing
two cards of the same suit. What is the
probability of drawing club on the
second draw if the first card drawn is a
club?
4
17
20. Assignment
Solve the following problems.
1. Two men and three women are in a
committee. Two of the five are to be
chosen as officers.
2. If the officers are chosen randomly, what is
the probability that both officers will be
women? What is the probability that both
officers will be women given that at least
one is a woman?