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anonymous
 4 years ago
A positive integer is picked randomly from 41 to 50, inclusive.
What is the probability that it is divisible by either 3 or 5? Write your answer as a simplified fraction
anonymous
 4 years ago
A positive integer is picked randomly from 41 to 50, inclusive. What is the probability that it is divisible by either 3 or 5? Write your answer as a simplified fraction

This Question is Closed

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0again we count only ten numbers to count 41,42,43,44,45,46,47,48,49,50 then we count the ones divisible by 3, and the ones divisible by 5

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0All integers are divisible by 3 or 5. What I think you meant is divisible by 3 or 5 without a remainder right?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0divisible by 3: 42,45,48 divisible by 5: 45,50 just make sure not to count 45 twice (the whole point of this problem) so the set is {42,45,48,50} i.e 4 out of the 10

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ya commodoc that is implied

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so these events are not mutually exclusive and we apply the concept of union ?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0well they are not mutually exclusive that is for sure, since 45 is both divisible by 3 and by 5

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i am not sure what you mean by "concept of union" you would take the union of the two events in any case, whether they are mutually exclusive or not

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0but what is the concept of union and intersection in probability

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0commdoc u can also try

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0unions and intersections are set operations. so for the example above if A is "divisible by 3" and B is "divisible by 5" then \[A=\{42,45,48\}\] \[B=\{45,50\}\] \[A\cup B=\{42,45,48,50\}\] \[A\cap B=\{45\}\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0and you can see that \[P(A\cup B)=P(A)+P(B)P(A\cap B)\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so in union ever item is considered and in intersection only the common item is taken

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0hey commdoc u r doing which subject in ur ph.d?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ee with concentration in communications specifically coding theory

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Hey satellite how do you get the drawings in the blog?
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