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mathmath333
 one year ago
probability question
mathmath333
 one year ago
probability question

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mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1\(\large \color{black}{\begin{align} & \normalsize \text{Probability of solving specific problem independently by A and B are}\hspace{.33em}\\~\\ & \dfrac12\ \ \normalsize \text{and}\ \ \dfrac13\ \normalsize \text{respectively.}\hspace{.33em}\\~\\ & \normalsize \text{If both try to solve the problem independently, find the probability}\hspace{.33em}\\~\\ & \normalsize \text{ that exactly one of them solves the problem.}\hspace{.33em}\\~\\ \end{align}}\)

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2you want to find below two probabilities and then add them : 1) A solves the problem but B doesn't 2) A doesn't solve the problem but B solves it

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2P("A solves" AND "B doesnt solve") = ?

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1how did u know i need to find this 1) A solves the problem but B doesn't 2) A doesn't solve the problem but B solves it

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2good question, thats because of the phrase "exactly one of them"

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2"exactly one of them" means only one of them solves the problem

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1P("A solves" AND "B doesnt solve") = P(A\(\cap\)B')

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1is this correct P("A solves" AND "B doesnt solve") = P(A∩B')

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2Correct, it is easy, go ahead and find it...

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1P(A∩B')=P(A)P(A∩B)

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2i suggest you not use the formulas to solve these problems, use the problem to make sense of formulas instead

thomas5267
 one year ago
Best ResponseYou've already chosen the best response.1There are only four situations. 1. A solves it and B couldn't. 2. A couldn't solve it and B solves it. 3. A and B both solve it. 4. A and B both couldn't solve it (idiots!) The question is asking for the probability of exactly one of them solves it (or one of them is an idiot!), so it is asking for the probability of 1 or 2 happening.

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1how can i solve it without formula "P(A∩B')"

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2you're given, probability that B solves the problem = 1/3 so can you guess the probability that B couldn't solve the problem ?

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1the probability that B couldn't solve the problem=2/3

thomas5267
 one year ago
Best ResponseYou've already chosen the best response.1I think it is true for all events X, P(X')=1P(X).

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2Yes, since the events are independent, simply multiply the probabilities : P("A solves" AND "B doesnt solve") = P("A solves")*P("B doesnt solve") = ?

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1the probability that B couldn't solve the problem =1/2*2/3=1/3

thomas5267
 one year ago
Best ResponseYou've already chosen the best response.1Put it in another way, an event can either happen or not happen. No event can not happen and not not happen at the same time.

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2Correct. try finding the probability for other case too : 2) A doesn't solve the problem but B solves it

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1P("A doesnt solves" AND "B does solve") =1/6

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2Add them up and you're done!

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.21/3 + 1/6 = 3/6 yeah 1/2 looks good to me
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