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Mutually Exclusive Events
A set of events is said to be mutually exclusive if the occurrence of any one of the events precludes the occurrence of any of the other events for illustration, when tossing a coin, the events are a head or a tail these are said to be mutually exclusive because the occurrence of heads for instance implies that tails cannot and has not happened.
This can be represented in venn diagram as given below:
E1 ∩ E2 = Ø
E1 ∩ E2 ≠ Ø
Non-mutually exclusive events (independent events)
Consider a survey whether a random sample of registered voters is selected. For every voter selected their sex and political party affiliation are noted. The events "KANU" and "woman" are not equally exclusive since the selection of KANU does not preclude the possibly that the voter is also a woman.
Independent Events
Events are said to be independent when the occurrence of any type of the events does not affect the occurrence of the other(s).For illustration the outcome of tossing a coin is independent of the outcome of the preceding or succeeding toss.
Evaluate subsequent proportion: Example 2: If 5 pounds of apples cost 80 cents, how much will 7 pounds cost? Solution: By using x for the cost of 7 pounds of appl
8
A circle is inscribed in a triangle ABC having sides 8cm, 10cm and 12cm as shown in the figure. Find AD, BE and CF.
6 and 3/8 minus 1 and 3/4
FORMULAS DERIVATION
1/4 divided by (9/10 divided by 8/9)
The length of the diameter of the circle which touches the X axis at the point (1,0) and passes through the point (2,3) is ? Solution) If a circle touches the x-axis, its equatio
How many arrangements can be made from the letters of the word " VENUS " such that the order of the vowels remains the same?
Three quantities a, b and c are said to be in harmonic progression if, In this case we observe that we have to consider three terms in o
volume=(1/3)(pi)(radius of base)2(height) curved surface area=(pi)(r)(l), r is radius of base and l is length of straight line connecting apex of cone with point on edge of base
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