4 Calvin has three hats. Each hat contains some maroon and some gold marbles. • Hat A has 2 maroon and 6 gold. • Hat B has 1 maroon and 3 gold. • Hat B has 8 maroon and 2 gold. Calvin flips two coins. If both are heads, Calvin selects hat A. If both are tails, Calvin sel one head and one tail, Calvin selects hat B. Then he randomly selects a marble from that hat. a) Altogether, there are 22 marbles. Explain why they are not equally likely to be selected. make it clear which are more likely and which are less likely.]
4 Calvin has three hats. Each hat contains some maroon and some gold marbles. • Hat A has 2 maroon and 6 gold. • Hat B has 1 maroon and 3 gold. • Hat B has 8 maroon and 2 gold. Calvin flips two coins. If both are heads, Calvin selects hat A. If both are tails, Calvin sel one head and one tail, Calvin selects hat B. Then he randomly selects a marble from that hat. a) Altogether, there are 22 marbles. Explain why they are not equally likely to be selected. make it clear which are more likely and which are less likely.]
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![4 Calvin has three hats. Each hat contains some maroon and some gold marbles.
• Hat A has 2 maroon and 6 gold.
• Hat B has 1 maroon and 3 gold.
• Hat B has 8 maroon and 2 gold.
Calvin flips two coins. If both are heads, Calvin selects hat A. If both are tails, Calvin selects hat C. If there is
one head and one tail, Calvin selects hat B. Then he randomly selects a marble from that hat.
a) Altogether, there are 22 marbles. Explain why they are not equally likely to be selected. [Your answer should
make it clear which are more likely and which are less likely.]
b) What is the probability that the selected marble comes from hat A?
c) What is the probability that the selected marble is a maroon marble in hat A?
d) What is the probability that the selected marble is maroon (from any hat)?
e) If the marble selected is maroon, what is the probability that the hat selected is hat A?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9134c255-a2be-4530-8da1-a6d66778d97d%2Fa1b89f51-52d7-4175-a8a3-166da251a25e%2Fj2yfiif_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4 Calvin has three hats. Each hat contains some maroon and some gold marbles.
• Hat A has 2 maroon and 6 gold.
• Hat B has 1 maroon and 3 gold.
• Hat B has 8 maroon and 2 gold.
Calvin flips two coins. If both are heads, Calvin selects hat A. If both are tails, Calvin selects hat C. If there is
one head and one tail, Calvin selects hat B. Then he randomly selects a marble from that hat.
a) Altogether, there are 22 marbles. Explain why they are not equally likely to be selected. [Your answer should
make it clear which are more likely and which are less likely.]
b) What is the probability that the selected marble comes from hat A?
c) What is the probability that the selected marble is a maroon marble in hat A?
d) What is the probability that the selected marble is maroon (from any hat)?
e) If the marble selected is maroon, what is the probability that the hat selected is hat A?
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