SOLUTION: Find the sample space S and the corresponding size n(S) for each of the random experiments On a table, there are 3 cups of milk tea, 2 cups of lemon tea, and 1 cup of coffee. A cu

Algebra ->  Permutations -> SOLUTION: Find the sample space S and the corresponding size n(S) for each of the random experiments On a table, there are 3 cups of milk tea, 2 cups of lemon tea, and 1 cup of coffee. A cu      Log On


   



Question 1174817: Find the sample space S and the corresponding size n(S) for each of the random experiments
On a table, there are 3 cups of milk tea, 2 cups of lemon tea, and 1 cup of coffee. A cup of drink is
taken away at a random from the table.

Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The sample space is the set of all possible outcomes.

What are the different possible outcomes when one cup is removed from the table?


Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
Find the sample space S and the corresponding size n(S) for each of the random experiments
On a table, there are 3 cups of milk tea, 2 cups of lemon tea, and 1 cup of coffee.
A cup of drink is taken away at a random from the table.
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In this problem, the space of events consists of 3 events.


Event  M  is event taking a cup of Milk tea.

Event  L  is event taking a cup of Lemon tea.

Event  C  is event taking a cup of Coffee.



Event M has the probability  3%2F6 = 1%2F2.

Event L has the probability  2%2F6 = 1%2F3.

Event C has the probability  1%2F6.


ANSWER.  The sample space of this experiment consists of there events M, L, and C  with probabilities  1%2F2, 1%2F3  and  1%2F6.

Solved,  answered and explained.   //   And completed.