(a) What is the probability all four cookies are chocolate-chip? (b) What is the probability the group has at most three chocolate-chip cookies? Interpret this result. (c) If only two cookies are selected at random, what is the probability the group has one of each flavor of cookie?
(a) What is the probability all four cookies are chocolate-chip? (b) What is the probability the group has at most three chocolate-chip cookies? Interpret this result. (c) If only two cookies are selected at random, what is the probability the group has one of each flavor of cookie?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
Question 3.1
Please solve with simple probability rules
![### Probability of Selecting Cookies
Consider a jar that contains 12 chocolate-chip cookies and 10 oatmeal cookies. We are interested in selecting cookies from this jar and calculating various probabilities.
#### Problem 3:
Suppose a group of four cookies will be selected from this jar.
**(a) What is the probability all four cookies are chocolate-chip?**
To determine this, we need to find the probability of selecting 4 chocolate-chip cookies out of the 12 available.
**(b) What is the probability the group has at most three chocolate-chip cookies? Interpret this result.**
This part asks for the probability of ending up with 0, 1, 2, or 3 chocolate-chip cookies in the selected group of 4 cookies. Calculate the probability for each scenario and sum them up to find the total.
Interpretation: This result helps in understanding the likelihood of having a mixture of chocolate-chip and oatmeal cookies in a group of 4 cookies.
**(c) If only two cookies are selected at random, what is the probability the group has one of each flavor of cookie?**
Here we need to find the probability of selecting one chocolate-chip cookie and one oatmeal cookie out of the 2 selected cookies.
Understanding these probabilities helps in determining the chances of various outcomes when selecting cookies from a jar containing two types of cookies.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F57c1a9e8-096b-4fde-a3f9-c0ea42610dcd%2F48938f6b-3902-4d2b-97a5-05b4e463e325%2Fb8d0wv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Probability of Selecting Cookies
Consider a jar that contains 12 chocolate-chip cookies and 10 oatmeal cookies. We are interested in selecting cookies from this jar and calculating various probabilities.
#### Problem 3:
Suppose a group of four cookies will be selected from this jar.
**(a) What is the probability all four cookies are chocolate-chip?**
To determine this, we need to find the probability of selecting 4 chocolate-chip cookies out of the 12 available.
**(b) What is the probability the group has at most three chocolate-chip cookies? Interpret this result.**
This part asks for the probability of ending up with 0, 1, 2, or 3 chocolate-chip cookies in the selected group of 4 cookies. Calculate the probability for each scenario and sum them up to find the total.
Interpretation: This result helps in understanding the likelihood of having a mixture of chocolate-chip and oatmeal cookies in a group of 4 cookies.
**(c) If only two cookies are selected at random, what is the probability the group has one of each flavor of cookie?**
Here we need to find the probability of selecting one chocolate-chip cookie and one oatmeal cookie out of the 2 selected cookies.
Understanding these probabilities helps in determining the chances of various outcomes when selecting cookies from a jar containing two types of cookies.
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