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Naddik [55]
3 years ago
15

Student is told that A union B is the set of all elements that beling to A or B. However when askef to find the union of A{a,b,c

,d}, and B{c,d,e,f,g,h} the student say that the answer is {a,b,e,f g,h}. How is the word or in the definition of set of union being misunderstood
Mathematics
1 answer:
stiks02 [169]3 years ago
8 0
He interprets the word 'or'  to mean that if both sets contain a common element they are not included in the union. That is why he has not included c and d  
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Step-by-step explanation:


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The correct question statement is:

A probability experiment is conducted in which the sample space of the experiment is S = {4,5,6,7,8,9,10,11,12,13,14,15}. Let event E={7,8,9,10,11,12,13,14,15}. Assume each outcome is equally likely. List the outcomes in E^{c}. Find P(E^{c}).

Solution:

Part 1:

E^{c} means compliment of the set E. A compliment of a set can be obtained by finding the difference of the set from the universal set. The universal set is the set which contains all the possible outcomes of the events which is S in this case.

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Part 2)

P(E^{c}) means probability that if we select any number from the Sample Space S, it will belong the set E compliment.

P(E^{c}) = (Number of Elements in E^{c})/Number of elements in S

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So, 

P(E^{c})= \frac{n(E^{c}) }{n(S)} \\  \\ 
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