Question 1

Jacob has a bag of his favorite marbles. It has 3 red marbles, 4 blue, and 10 of his most favorite color, neon orange.
-What are the chances that he as he removes marbles from the bag, he doesn't get an orange marble until his fourth attempt?

Accepted Answer

At an antique boat show, 90% of the bo...

Question 2

Jacob has a bag of his favorite marbles. It has 3 red marbles, 4 blue, and 10 of his most favorite color, neon orange.
-What is the probability that if a boat has chrome accents it is also made of natural wood?

Accepted Answer

$$\begin{array}{l}
\begin{array} { | l | l | l | } 
\hline & \text { chrome } & \text { no chrome } \
\hline \text { wooden } & 0.70 & 0.20 \
\hline \text { not wooden } & 0.05 & 0.05 \
\hline
\end{array}\
P ( \text { wood } \mid \text { chrome } ) = 0.70 / 0.75 = 93.3 \%
\end{array}$$

Question 3

Jacob has a bag of his favorite marbles. It has 3 red marbles, 4 blue, and 10 of his most favorite color, neon orange.
-What is the probability that if he removes 2 marbles without looking, that he will get two orange marbles?

Accepted Answer

$$P ( 2 \text { orange marbles without replacement } ) = \frac { 10 } { 17 } \cdot \frac { 9 } { 16 } = \frac { 90 } { 272 } = 0.331$$

Question 4

Jacob has a bag of his favorite marbles. It has 3 red marbles, 4 blue, and 10 of his most favorite color, neon orange.
-Does it appear that having chrome accents and being made of wood are independent characteristics? Provide statistical evidence to justify your response.

Accepted Answer

They do not appear to be indep...

Question 5

Jacob has a bag of his favorite marbles. It has 3 red marbles, 4 blue, and 10 of his most favorite color, neon orange.
-If Jacob removes 3 marbles from the bag, what are the chances that he will get at least one orange?

Accepted Answer

$$P ( \text { at least one orange } ) = 1 - P ( \text { no orange } ) = 1 - \frac { 7 } { 17 } \cdot \frac { 6 } { 16 } \cdot \frac { 5 } { 15 } = 0.949$$

Exam 13: Probability Rules

Jacob has a bag of his favorite marbles. It has 3 red marbles, 4 blue, and 10 of his most favorite color, neon orange. -What are the chances that he as he removes marbles from the bag, he doesn't get an orange marble until his fourth attempt?

Correct Answer
verified

At an antique boat show, 90% of the bo...
View Answer

Jacob has a bag of his favorite marbles. It has 3 red marbles, 4 blue, and 10 of his most favorite color, neon orange. -What is the probability that if a boat has chrome accents it is also made of natural wood?

Jacob has a bag of his favorite marbles. It has 3 red marbles, 4 blue, and 10 of his most favorite color, neon orange. -What is the probability that if he removes 2 marbles without looking, that he will get two orange marbles?

Correct Answer
verified
\[P ( 2 \text { orange marbles without replacement } ) = \frac { 10 } { 17 } \cdot \frac { 9 } { 16 } = \frac { 90 } { 272 } = 0.331\]

Jacob has a bag of his favorite marbles. It has 3 red marbles, 4 blue, and 10 of his most favorite color, neon orange. -Does it appear that having chrome accents and being made of wood are independent characteristics? Provide statistical evidence to justify your response.

Correct Answer
verified
They do not appear to be indep...
View Answer

Jacob has a bag of his favorite marbles. It has 3 red marbles, 4 blue, and 10 of his most favorite color, neon orange. -If Jacob removes 3 marbles from the bag, what are the chances that he will get at least one orange?

Correct Answer
verified
\[P ( \text { at least one orange } ) = 1 - P ( \text { no orange } ) = 1 - \frac { 7 } { 17 } \cdot \frac { 6 } { 16 } \cdot \frac { 5 } { 15 } = 0.949\]