Information About Probability
Introduction to information about probability:
The information about probability is defined as the process of an event that occurs in the particular experiment. Information about probability is the particular approach for expressing an event that will occur. The information about probability is the event, the experiments that are repeatedly done under some well -defined conditions. The outcomes of the experiments are not same for all the experiments. These experiments are also called as the random experiments or simply experiments.
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Terms Used in Information about Probability:
The number of possibilities for the experiment is known as the sample space.
The experiment that is performed each and every time is known as the trial.
The outcome of the experiment is determined as the event in the probability.
The event that contains all the possible outcomes for the experiment is known as the exhaustive events.
The two events that cannot take place simultaneously is known as the mutually exclusive event.
Examples for Information about Probability:
Example 1 for information about probability:
A company contains 500 employees. 270 employees earn 15000 per month and 100 employees earn 10000 per month and 30 employees earn 5000 per month. Find the probability for the employees earn more than 10000.
Solution:
The total numbers of employees are 500.
The number of employees earn more than 10000 is 270 + 100. The numbers of employees are 370.
Required probability = '370/ 500'
Required probability = 0.74
The probability for the employees earn more than 10000 is 0.74.
Example 2 for information about probability:
An urn contains 4 black and 3 red balls while another urn contains 2 black ball and 6 red balls. Two balls are drawn at random from the first urn and put into the second urn and then a ball is drawn from the latter urn. Determine the probability for the black ball.
Solution:
The two balls are drawn from the first urn. The ball may be 1) both black 2) both red 3) one black and one red.
Let these events be A, B, C respectively.
P (A) = '(4C2)/ (7C2)' = '2/7'
P (B) = '(3C2)/ (7C2)' = '1/7'
P (C) = '(4C1xx 3 C1)/(7C2)' = '4/7'
When two balls are relocated from first urn to second urn, the second urn will contain 1) 4 black and 6 red balls 2) 2 black and 8 red balls 3) 3 black and 7 red balls.
S- The event of drawing the black ball from the second urn.
P('S/A' ) = '4/10' P('S/B' ) = '2/10' P('S/C' ) = '3/10'
Required probability P (S) =P (A) P('S/A' ) +P (B) P('S/B' ) + P (C) P('S/C' )
P (A) = ('2/7' ) ('4/10' ) + ('1/7' ) ('2/10' ) + ('4/7' ) ('3/10' )
P (A) = '11/35'
The probability for getting the black ball is '11/35' .
by: Omkar Nayak
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