Step 1:
We have to choose two positive numbers. Let the two positive numbers be x and y. This x and y are decision variable..
Example1:
Find two positive numbers whose sum is at least 15 and whose difference is at the most 7 such that their product is maximum. Before solving this problem, we have to state the prob..
Example 1:
A card is drawn from an ordinary deck and we are told that it is red, what is the probability that the card is greater than 2 but less than ..
Example 2:
A pair of dice is thrown. If it is known that one die shows a 4, what is the probability that a) the other die shows a 5 b) the total of both the die is greater than..
Theorem 2:
P(A C ) = 1 - P(..
Step 2:
We draw straight lines for the equation 2x+ y = 100 ...(2) x + y = 80 To determine two points on the straight line 2x + y = 100 Put y = 0, 2x = 100 x = 50 (50, 0) is a point on the line (2) put x = 0 in (2), y =100 (0, 10..
We draw straight lines for the equation 2x+ y = 100 ...(2) x + y = 80 To determine two points on the straight line 2x + y = 100 Put y = 0, 2x = 100 x = 50 (50, 0) is a point on the line (2) put x = 0 in (2), y =100 (0, 10..Theorem 1:(Addition Rule of Probability)
If A and B are any two events, the..
If A and B are any two events, the..Theorems of Probability
Theorem 1:(Addition Rule of Probability) - If A and B are any two events, th..
Theorem 1:(Addition Rule of Probability) - If A and B are any two events, th..Conditional Probability
Conditional Probability - Let us consider the random experiment of throwing a die. Let A be the event of getting an odd number on the die. \ S = {1, 2, 3, 4, 5, 6} and A = {1, 3, 5} Let B = {2, 3, 4, 5, 6}. If, after the die is thrown, we are given ..
Conditional Probability - Let us consider the random experiment of throwing a die. Let A be the event of getting an odd number on the die. \ S = {1, 2, 3, 4, 5, 6} and A = {1, 3, 5} Let B = {2, 3, 4, 5, 6}. If, after the die is thrown, we are given ..Probability (continued) Introduction
Introduction - From our earlier chapter we know that, in statistical experiments, if the events A and B are independent, then But suppose the two events are not independent, that is the occurrence of one depends on the occurrence of other, then how do we compute This can be expl..
Introduction - From our earlier chapter we know that, in statistical experiments, if the events A and B are independent, then But suppose the two events are not independent, that is the occurrence of one depends on the occurrence of other, then how do we compute This can be expl.. Result
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