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n and p are even

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by sanju09 » Sat Jun 19, 2010 3:06 am
n is an integer chosen at random from the set {2, 5, 6} and p another integer chosen at random from the set {6, 9, 10}. What is the probability that the two numbers n and p are even?
(A) 1/9
(B) 2/9
(C) 4/9
(D) 5/9
(E) 7/9
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by amising6 » Sat Jun 19, 2010 3:10 am
sanju09 wrote:n is an integer chosen at random from the set {2, 5, 6} and p another integer chosen at random from the set {6, 9, 10}. What is the probability that the two numbers n and p are even?
(A) 1/9
(B) 2/9
(C) 4/9
(D) 5/9
(E) 7/9
prob of even number n from the set (2,5,6) and even is 2/3
prob of even number p from the set (6,9,10) and even is 2/3
so total prob 4/9
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by selango » Sat Jun 19, 2010 9:27 am
Prob=Total number of even integers from 2 sets/Total number of integers can be chosen

total number of integers chosen=3*3=9

total number of even integers are 2,6 2,10 6,6 6,10=4

prob =4/9
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