Introduction to what is probability for math:
Probability math is the way of expressing an event that will occur. The probability for math is the event, the experiments that are repeatedly done under some conditions. The results of the experiments are not the same for all the events. These experiments are called as the random experiments or simply experiments. The probability contains trial, sample space, event.
Terms used in the probability for math:
Sample space stands for the number of possibilities in an experiment.
Trial stands for the experiment is performed.
Event stands for the outcome of the experiments.
Exhaustive events are an event which contains all the possible outcomes of the experiment.
Mutually exclusive events are the two events that cannot occur simultaneously.
Formula used in probability for math:
If s be the total number of cases and n be the number of favorable cases means the required probability for a event A is P(A) =`n/s` .
The probability for the impossible event is zero.
For any event A the probability of the event is between 0 and 1.
P(AUB)=P(A)+P(B)-P(An B)
P(B/A)= P(An B)/ P(A) where P(A)? 0
P(A/B)= P(An B)/ P(B) where P(B)? 0
I have recently faced lot of problem while learning Dependent Events Probability, But thank to online resources of math which helped me to learn myself easily on net.
Example problems for probability for math:
Example 1 for probability for math:
An urn has 4 white and 2 red balls. Find the probability of the number of red balls when three draws one by one from the urn without replacement.
Solution:
The total number of balls= 4 w+ 2r =6 balls
1) P( no red ball) = 8 C3 / 6 C3= `14/5`
2) P( 1 red ball ) =8C2 x 2C1/6 C3 =`28/ 5`
3) P( 2 red balls) = 2C2 x 8C1 / 6C3=`2/ 5`
Example 2 for probability for math:
In tossing a fair die, what is the probability of the numbers greater than 2?
Solution:
The sample space for the die is S= {1, 2, 3, 4, 5, 6}
The total number of sample space =6.
A is the event for getting the number greater than 2.
A= {3, 4, 5, 6}
The number of events greater than 2 n (A) =4
The required probability is P (A) =n (A)/ n(S)
The required probability is P (A) = `4/6`
The required probability is P (A) =` 2/3`
The probability for getting the numbers greater than 2 is `2/3` .
Probability math is the way of expressing an event that will occur. The probability for math is the event, the experiments that are repeatedly done under some conditions. The results of the experiments are not the same for all the events. These experiments are called as the random experiments or simply experiments. The probability contains trial, sample space, event.
Terms used in the probability for math:
Sample space stands for the number of possibilities in an experiment.
Trial stands for the experiment is performed.
Event stands for the outcome of the experiments.
Exhaustive events are an event which contains all the possible outcomes of the experiment.
Mutually exclusive events are the two events that cannot occur simultaneously.
Formula used in probability for math:
If s be the total number of cases and n be the number of favorable cases means the required probability for a event A is P(A) =`n/s` .
The probability for the impossible event is zero.
For any event A the probability of the event is between 0 and 1.
P(AUB)=P(A)+P(B)-P(An B)
P(B/A)= P(An B)/ P(A) where P(A)? 0
P(A/B)= P(An B)/ P(B) where P(B)? 0
I have recently faced lot of problem while learning Dependent Events Probability, But thank to online resources of math which helped me to learn myself easily on net.
Example problems for probability for math:
Example 1 for probability for math:
An urn has 4 white and 2 red balls. Find the probability of the number of red balls when three draws one by one from the urn without replacement.
Solution:
The total number of balls= 4 w+ 2r =6 balls
1) P( no red ball) = 8 C3 / 6 C3= `14/5`
2) P( 1 red ball ) =8C2 x 2C1/6 C3 =`28/ 5`
3) P( 2 red balls) = 2C2 x 8C1 / 6C3=`2/ 5`
Example 2 for probability for math:
In tossing a fair die, what is the probability of the numbers greater than 2?
Solution:
The sample space for the die is S= {1, 2, 3, 4, 5, 6}
The total number of sample space =6.
A is the event for getting the number greater than 2.
A= {3, 4, 5, 6}
The number of events greater than 2 n (A) =4
The required probability is P (A) =n (A)/ n(S)
The required probability is P (A) = `4/6`
The required probability is P (A) =` 2/3`
The probability for getting the numbers greater than 2 is `2/3` .
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