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Independent and Dependent Events
Two events A and B are independent events if the occurrence of event A is in no way related to the occurrence or non-occurrence of event B. Likewise for independent events, the occurrence of event B is in no way related to the occurrence of event A.
Two events A and B are dependent events if the occurrence of one event say A is related to the occurrence of another event, say B.
MULTIPLICATION RULE: INDEPENDENT EVENTS
The joint probability of two outcomes that are independent is equal to the probability of the first outcome multiplied by the probability of the second outcome (the second outcome may be occurring simultaneously or some time in future), i.e. joint probability of two independent events is equal to the product of their marginal probabilities.
P(A and B) = P(A) . P(B)
In the adjoining figure, ABCD is a square of side 6cm. Find the area of the shaded region. Ans: From P draw PQ ⊥ AB AQ = QB = 3cm (Ans: 34.428 sq cm) Join PB
Elliptic Paraboloid The equation which is given here is the equation of an elliptic paraboloid. x 2 /a 2 + y 2 /b 2 = z/c Like with cylinders this has a cross section
The Timbuktu post office has only 3 cents and 7 cents stamps having run out of all other denominations. What are the six amounts of postage that cannot be created? How do you know
Determine the Probability From a pack of playing cards what is the probability of; (i) Picking either a 'Diamond' or a 'Heart' → mutually exclusive (ii) Picking either
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If the areas of three adjacent faces of cuboid are x, y, z respectively, Find the volume of the cuboids. Ans: lb = x , bh = y, hl = z Volume of cuboid = lbh V 2 = l 2 b 2
In the shape of a cone a tank of water is leaking water at a constant rate of 2 ft 3 /hour . The base radius of the tank is equal to 5 ft and the height of the tank is 14 ft.
whats 100 + 90 - 6
what value of k is he sequence 2k+4,3k-7,k+12 are in an arithmetic sequence is
The points A,B,C and D represent the numbers Z1,Z2,Z3 and Z4.ABCD is rhombus;AC=2BD.if Z2=2+i ,Z4=1-2i,find Z1 and Z3 Ans) POI of diagonals: (3-i)/2. Using concept of rotation:
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