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Q. What are Inclusive Events?
Ans.
Events that can occur at the same time are called inclusive events. For example, a student can belong to more than one club at one time. Events A and B are inclusive if their intersection is not empty, . Here is a Venn diagram showing inclusive events A and B:
Property: If A and B are inclusive, then P(A or B) = P(A) + P(B) or P(A and B). In words, this means that the probability of A OR B occurring is equal to the probability of A occurring plus the probability of B occurring. This property can be written .
Proof: Using the definition for probability, we have:
Since A and B are inclusive, we mustn't count the elements in both sets more than once.
Express the product of -9p3r and the quantity 2p - 3r in simplified form. The translated expression would be -9p3r(2p - 3r). Noticed that the key word product means multiply.
In the previous section we looked at the method of undetermined coefficients for getting a particular solution to p (t) y′′ + q (t) y′ + r (t) y = g (t) .....................
There actually isn't a whole lot to do throughout this case. We'll find two solutions which will form a basic set of solutions and therefore our general solution will be as,
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A local pizza shop sells large pies for $7 each. If the cost of the order is proportional to the number of pizzas would they charge a delivery charge per pizza or per order ?
Find out the volume of the solid obtained by rotating the region bounded by x = (y - 2) 2 and y = x around the line y = -1. Solution : We have to first get the intersection
Specified a system of equations, (1), we will have one of the three probabilities for the number of solutions. 1. No solution. 2. Accurately one solution. 3. Infinit
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In figure, the incircle of triangle ABC touches the sides BC, CA, and AB at D, E, and F respectively. Show that AF+BD+CE=AE+BF+CD= 1/2 (perimeter of triangle ABC), Ans:
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