Sagot :
Answer:
Sample Space In Probability
In these lessons, we will learn simple probability, experiments, outcomes, sample space and probability of an event.
The following diagram shows how the sample space for an experiment can be represented by a list, a table, and a tree diagram. Scroll down the page for examples and solutions.
Sample Space
In the study of probability, an experiment is a process or investigation from which results are observed or recorded.
An outcome is a possible result of an experiment.
A sample space is the set of all possible outcomes in the experiment. It is usually denoted by the letter S. Sample space can be written using the set notation, { }.
Experiment 1:
Tossing a coin
Possible outcomes are head or tail.
Sample space, S = {head, tail}
Experiment 2:
Tossing a die
Possible outcomes are the numbers 1, 2, 3, 4, 5, and 6
Sample space, S = {1, 2, 3, 4, 5, 6}
Experiment 3:
Picking a card
In an experiment, a card is picked from a stack of six cards, which spell the word PASCAL.
Possible outcomes are P, A 1, S, C, A 2 and L.
Sample space, S = {P, A 1, S, C, A 2 L}
There are 2 cards with the letter ‘A’
Experiment 4:
Picking 2 marbles, one at a time, from a bag that contains many blue and red marbles.
Possible outcomes are: (Blue, Blue), (Blue, Red), (Red, Blue) and (Red, Red).
Sample space, S = {(B,B), (B,R), (R,B), (R,R)}.
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