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Math Problems
Algebra 2
Identify independent events
In an experiment, the probability that event
A
A
A
occurs is
2
7
\frac{2}{7}
7
2
, the probability that event
B
B
B
occurs is
7
9
\frac{7}{9}
9
7
, and the probability that events
A
A
A
and
B
B
B
both occur is
1
9
\frac{1}{9}
9
1
.
\newline
Are
A
A
A
and
B
B
B
independent events?
\newline
Choices:
\newline
yes
\text{yes}
yes
\newline
no
\text{no}
no
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In an experiment, the probability that event
A
A
A
occurs is
5
8
\frac{5}{8}
8
5
, the probability that event
B
B
B
occurs is
2
9
\frac{2}{9}
9
2
, and the probability that events
A
A
A
and
B
B
B
both occur is
5
36
\frac{5}{36}
36
5
.
\newline
Are
A
A
A
and
B
B
B
independent events?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
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In an experiment, the probability that event
A
A
A
occurs is
3
8
\frac{3}{8}
8
3
, the probability that event
B
B
B
occurs is
4
7
\frac{4}{7}
7
4
, and the probability that events
A
A
A
and
B
B
B
both occur is
3
14
\frac{3}{14}
14
3
.
\newline
Are
A
A
A
and
B
B
B
independent events?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
In an experiment, the probability that event
A
A
A
occurs is
5
8
\frac{5}{8}
8
5
, the probability that event
B
B
B
occurs is
2
7
\frac{2}{7}
7
2
, and the probability that events
A
A
A
and
B
B
B
both occur is
5
28
\frac{5}{28}
28
5
.
\newline
Are
A
A
A
and
B
B
B
independent events?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
In an experiment, the probability that event
A
A
A
occurs is
5
8
\frac{5}{8}
8
5
, the probability that event
B
B
B
occurs is
4
9
\frac{4}{9}
9
4
, and the probability that events
A
A
A
and
B
B
B
both occur is
5
18
\frac{5}{18}
18
5
.
\newline
Are
A
A
A
and
B
B
B
independent events?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
In an experiment, the probability that event
A
A
A
occurs is
1
4
\frac{1}{4}
4
1
, the probability that event
B
B
B
occurs is
5
9
\frac{5}{9}
9
5
, and the probability that events
A
A
A
and
B
B
B
both occur is
5
36
\frac{5}{36}
36
5
.
\newline
Are
A
A
A
and
B
B
B
independent events?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
A glass jar contains a total of
46
46
46
marbles. The jar has yellow, blue, and green marbles. There are
4
4
4
blue marbles,
5
5
5
green marbles, and the rest are yellow. Determine which event has a probability closest to
1
1
1
.
\newline
A. Picking a green marble
\newline
B. Picking a yellow marble
\newline
C. Picking a red marble
\newline
D. Picking a blue marble
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Which of these contexts describes a situation that is an equal chance or
50
50
50
−
50
-50
−
50
?
\newline
Rolling a number between
1
1
1
and
6
6
6
(including
1
1
1
and
6
6
6
) on a standard six-sided die, numbered from
1
1
1
to
6
6
6
.
\newline
Spinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on red or green.
\newline
Winning a raffle that sold a total of
100
100
100
tickets if you bought
90
90
90
tickets.
\newline
Reaching into a bag full of
10
10
10
strawberry chews and
10
10
10
cherry chews without looking and pulling out a strawberry or a cherry chew.
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In an experiment, the probability that event
A
A
A
occurs is
2
7
\frac{2}{7}
7
2
, the probability that event
B
B
B
occurs is
7
9
\frac{7}{9}
9
7
, and the probability that events
A
A
A
and
B
B
B
both occur is
1
9
\frac{1}{9}
9
1
.
\newline
Are
A
A
A
and
B
B
B
independent events?
\newline
Choices:
\newline
(A)
yes
\text{yes}
yes
\newline
(B)
no
\text{no}
no
Get tutor help
