write notes of some basic terms of probability. write answer marked brainlist
Answers
Answer:
Definitions:
Experiment: a process by which an outcome is obtained, i.e., rolling a die.
Sample space: The set S of all possible outcomes of an experiment.
i.e. the sample space for a die roll is {1, 2, 3, 4, 5, 6}
Event: Any subset E of the sample space. i.e. Let
E1 = An even number is rolled.
E2 = A number less than three is rolled.
Probability and Odds:
The probability of an event is a measure of the likelihood that the event will occur.
If an experiment’s outcomes are equally likely to occur, then the probability of an event E is the number of outcomes in E divided by the number of outcomes in the Sample Space.
P(E) = n(E)/n(S)
This chapter only discusses experiments with equally likely outcomes.
Note: Probability = (success)
(total)
Odds in favor of an event E are the number of ways the event can occur compared to the number of ways the event can fail.
O(E) = n(E) : n(E’) Odds = (success) : (failure)
House odds vs. True odds
What the casino pays vs. what you should get
Example 1:
On a Roulette wheel, find:
a) the probability of getting a red number
b) the odds of getting a red number
c) the probability of getting number 20
d) the odds of getting number 20
e) the probability of getting a number between 1 and 12 inclusive
f) the odds of getting a number between 1 and 12 inclusive
a) 18/38 = 9/19 b) 18: 20 = 9: 10
c) 1/38 d) 1: 37
Answer:
hi mate.....
Explanation:
Definitions:
Experiment: a process by which an outcome is obtained, i.e., rolling a die.
Sample space: The set S of all possible outcomes of an experiment.
i.e. the sample space for a die roll is {1, 2, 3, 4, 5, 6}
Event: Any subset E of the sample space. i.e. Let
E1 = An even number is rolled.
E2 = A number less than three is rolled.
Probability and Odds:
The probability of an event is a measure of the likelihood that the event will occur.
If an experiment’s outcomes are equally likely to occur, then the probability of an event E is the number of outcomes in E divided by the number of outcomes in the Sample Space.
P(E) = n(E)/n(S)
This chapter only discusses experiments with equally likely outcomes.
Note: Probability = (success)
(total)
Odds in favor of an event E are the number of ways the event can occur compared to the number of ways the event can fail.
O(E) = n(E) : n(E’) Odds = (success) : (failure)
House odds vs. True odds
What the casino pays vs. what you should get
Example 1:
On a Roulette wheel, find:
a) the probability of getting a red number
b) the odds of getting a red number
c) the probability of getting number 20
d) the odds of getting number 20
e) the probability of getting a number between 1 and 12 inclusive
f) the odds of getting a number between 1 and 12 inclusive
a) 18/38 = 9/19 b) 18: 20 = 9: 10
c) 1/38 d) 1: 37
e) 12/38 = 6/19 f ) 12 : 26 = 6 : 13
Probability can be found theoretically or empirically. Up to now, we have used theory.
Empirical means to scientifically do each experiment and record the observations.
If we flip a coin and record how many heads comes up, then it is called relative frequency of heads. The results may not be exactly the ½ probability that theory provides, but if the coin is flipped a large number of times, the relative frequency will come close to the ½ probability. This is called the Law of Large Numbers.