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.
-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 independent. $\mathrm { P } ($ wood $\mid$ chrome $) = 93.3 \%$, whereas $\mathrm { P } ($ wood $) = 90 \% .$ So having chrome slightly increases the chances is made of wood.

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.
-If Jacob removes 3 marbles from the bag, what are the chances that he will get at least one orange?

Accepted Answer

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

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 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 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.
-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

The answer of Jacob has a bag of his favorite...

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.
-What is the probability that if he removes 2 marbles without looking, that he will get two orange marbles?

Accepted Answer

The answer of Jacob has a bag of his favorite...

Quiz 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. -Does it appear that having chrome accents and being made of wood are independent characteristics? Provide statistical evidence to justify your response.

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?

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 are the chances that he as he removes marbles from the bag, he doesn't get an orange marble until his fourth attempt?

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?