example of a probability


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In tossing a fair die, what is the probability that the outcome is odd or grater than ..
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In throwing a die experiment, what is the probability of occuring a number greater than 8..
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An experiment consists of 'tossing a die and observing the number on the upper-most face' In such cases, we talk of chance of probability, which numerically measures the degree of chance of the occurrence of even..
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Probability of solving a specific problem independently by A and B are respectively. If both try to solve the problem independently, find the probability that the problems be solve..
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5 cards are drawn successively with replacement from well shuffled deck of 52 cards. What is the probability that i) all the five cards are spades ii) only 3 cards are spades iii) none is a spa..
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Consider the experiment of throwing a die. 2) Compound Event: If an event has more than one sample points, the event is called a compound event . In the above example, of throwing a die, {1, 4} is a compound event. 3) Null Event ( f ): As null set is a subset of S, it is also an ev..
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Find the optimal solution in the above problem of decorative item dealer whose objective function is Z = 50x + 18y. In the graph, the corners of the feasible region are O (0, 0), A (0, 80), B(20, 60), C(50, 0) At (0, 0) Z = 0 At (0, 80) Z = 50 (0) + 18(80) = Rs. 1440 At (20, 60), Z = 50 (20) +18 ..
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Show graphically that the model Maximise Z = -5y Subject to y 0 has no feasible solutio..
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From a class of 32 students, 4 are to be chosen for a competition. In how many ways can this be don..
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1. 2 and 3 are two digits and with these digits, the numbers 32 and 23 are formed. Although both numbers viz., 32 and 23 consist of the digits 2 and 3, the order of digits is different. Each of the above arrangements is called a 'permutation'. Thus, the number of arrangements or permutations of tw..
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