Asked by Mckensi Bradley on May 30, 2024

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A student has decided to study at a local coffee shop. After some time, she gets hungry. There are two beverages available: tea and coffee and three bakery items: donuts, muffins and bagels. Define the following events:
C = {student gets coffee to drink}
T = {student gets tea to drink}
D = {student gets a donut to eat}
M = {student gets a muffin to eat}
B = {student gets a bagel to eat}
a. She decides she wants to get one item to eat and one item to drink. List the elements in the sample space S.
____________________________
b. If each combination is equally likely, what is the probability the student gets coffee and a bagel?
______________
c. If each combination is equally likely, what is the probability the student gets a muffin and coffee or tea?
______________
d. If each combination is equally likely, what is the probability the student does not get a donut?
______________

Sample Space

The set of all possible outcomes in a probability experiment.

Probability

A measure of the likelihood of a particular event or outcome in a set of possible events, typically expressed as a ratio between 0 and 1.

  • Compute marginal, conditional, and joint probabilities for specified events.
  • Employ probability principles to determine outcomes in real-world contexts, such as the probability of actions being successful or unsuccessful and events taking place.
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Verified Answer

GS
Gurdeep SinghJun 03, 2024
Final Answer :
a. {(C,D),(C,M),(C,B),(T,D),(T,M),(T,B)}; a. {(C,D),(C,M),(C,B),(T,D),(T,M),(T,B)};