7. WHAT IF?In Example 6, what is the probability that you and your friends choose different costumes if the store sells 20 different costumes?
8.
BASKETBALL
A high school basketball team leads at halftime in 60% of
the games in a season. The team wins 80% of the time when they have
the halftime lead, but only 10% of the time when they do not. What is the
probability that the team wins a particular game during the season?
10.5
EXERCISES
1.
VOCABULARY
Copy and complete: The probability that
B
will occur given
that
A
has occurred is called the ? of
B
given
A
.
2. ★ WRITINGExplainthe difference between dependent events and independent events, and give an example of each.
3.
P
(
A
)
5
0.4
4.
P
(
A
)
5
0.3
5.
P
(
A
)
5
0.25
P
(
B
)
5
0.6
P
(
B
)
5
0.4
P
(
B
)
5
?
P
(
A
and
B
)
5
?
P
(
A
and
B
)
5
?
P
(
A
and
B
)
5
0.2
6. P(A) 50.5 7. P(A) 5? 8.P(A) 5?
9.
green, then blue
10.
red, then yellow
11.
blue, then red
12.
yellow, then green
13.
blue, then green, then red
14.
green, then red, then yellow
15. ★ MULTIPLE CHOICEEvents Aand Bare independent. What is P(Aand B) if P(A) 50.3 and P(B) 50.2?A0.06 B0.1 C0.5 D0.6
16.
P
(
A
)
5
0.3
17.
P
(
A
)
5
0.7
18.
P
(
A
)
5
0.8
P
(
B
A
)
5
0.6
P
(
B
A
)
5
0.5
P
(
B
A
)
5
?
P
(
A
and
B
)
5
?
P
(
A
and
B
)
5
?
P
(
A
and
B
)
5
0.32
19. P(A) 50.6 20. P(A) 5? 21.P(A) 50.7
22.
n
is 2 given that it is even
23.
n
is 5 given that it is less than 8
24.
n
is prime given that it has 2 digits
25.
n
is odd given that it is prime
DRAWING CARDS
Find the probability of drawing the given cards from a
standard deck of 52 cards (a) with replacement and (b) without replacement.
26.
A club, then a spade
27.
A queen, then an ace
28.
A face card, then a 6
29.
A 10, then a 2
30.
A king, then a queen, then a jack
31.
A spade, then a club, then another spade
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- Calculus, Probability, Probability theory, Exs.
