Questions: A pet store has 9 puppies, including 4 poodles, 4 terriers, and 1 retriever. Rebecka and Aaron, in that order, each select one puppy at random without replacement. Find the probability that Aaron selects a retriever, given Rebecka selects a retriever.

A pet store has 9 puppies, including 4 poodles, 4 terriers, and 1 retriever. Rebecka and Aaron, in that order, each select one puppy at random without replacement. Find the probability that Aaron selects a retriever, given Rebecka selects a retriever.
Transcript text: A pet store has 9 puppies, including 4 poodles, 4 terriers, and 1 retriever. Rebecka and Aaron, in that order, each select one puppy at random without replacement. Find the probability that Aaron selects a retriever, given Rebecka selects a retriever. The probability is $\square$
failed

Solution

failed
failed

Solution Steps

Step 1: Calculate \( P(B) \)

To find the probability that Rebecka selects a retriever, we note that there is 1 retriever among a total of 9 puppies. Thus, the probability \( P(B) \) is calculated as:

\[ P(B) = \frac{1}{9} \approx 0.1111 \]

Step 2: Calculate \( P(A \cap B) \)

Next, we determine the probability that both Rebecka and Aaron select the retriever. If Rebecka selects the retriever, there are no retrievers left for Aaron to select. Therefore, the probability \( P(A \cap B) \) is:

\[ P(A \cap B) = 0 \]

Step 3: Calculate \( P(A | B) \)

Finally, we compute the conditional probability that Aaron selects a retriever given that Rebecka has selected a retriever. Using the formula for conditional probability:

\[ P(A | B) = \frac{P(A \cap B)}{P(B)} \]

Substituting the values we found:

\[ P(A | B) = \frac{0}{\frac{1}{9}} = 0 \]

Final Answer

The probability that Aaron selects a retriever, given that Rebecka selects a retriever, is

\[ \boxed{0} \]

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
The cost function for a product is C(q)=q^3-54q^2+972q+1180 for 0 ≤ q ≤ 50 and a price per unit of 526. Round your answers to the nearest whole number. a) What production level maximizes profit? q= b) What is the total cost at this production level? cost = c) What is the total revenue at this production level? revenue = d) What is the total profit at this production level? profit =
failedAnswered
Place the following stages of the audition process in order from first to last: 1 [Choose ] 2 [Choose] 3 [Choose] 4 [Choose ]
failedAnswered
After watching the videos, I found the depiction of 3-D space in both "The Last Supper" and "Night Attack on the SanjS Palace" fascinating. "The Last Supper" by Leonardo da Vinci uses a one-point perspective to create a sense of depth and space. The converging lines lead the viewer's eye to the focal point, creating a feeling of three-dimensional space within the painting. On the other hand, the Sanjo Palace scroll uses a different approach to depict space The sceril presents space as more narrative and panoramic, using layered compositions to convey depth and distance. "The Last Supper" is a mural created with tempera and oil on plaster, while the Sanjo Palace scroll is an ink and color on paper. The medium used in each work contributes to its uniqueness. The mural technique allows da Vinci to achieve high detail and realism. in contrast, the scroil's ink and color on paper technique enables the artist to create a flowing and continuous narrative. In terms of cultural aesthetic preference, both are captivating in their way. The precision and detail in "The Last Supper" appeal to me, as it captures a slgnificant moment in Western religious history with a sense of realism. On the other hand, the dynamic and narrative quality of the Sanjo Palace scroll draws me in due to its depiction of a historical event in Japanese culture. Both cultural aesthetics offer unique perspectives and qualities that make it challenging to choose a preference.
failedAnswered
A 10% starch solution is separated from a 2% starch solution by a semipermeable membrane. Starch is a colloid. Which of the following is correct? The solutions have the same osmotic pressure. The solutions have opposite osmotic pressures. The 2% solution has the higher osmotic pressure. Neither solution has osmotic pressure. The 10% solution has the higher osmotic pressure.
failedAnswered
Hide Question 8 of 10 A deoxyribose linked to a thymine is referred to as a: purine nucleotide. nucleotide. purine nucleoside. nucleotide or purine nucleotide. nucleoside.