SOLUTION: One deck of cards consists of six cards numbered 1 through 6, and a second deck consists of six cards numbered 7 through 12. If one card is chosen at random from each deck, and
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Question 943387: One deck of cards consists of six cards numbered 1 through 6, and a second deck consists of six cards numbered 7 through 12. If one card is chosen at random from each deck, and the numbers on these cards are multiplied, what is the probability
that this product is an even number?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Look at the possible outcomes, there are 36 of them,
1*6 1*7 1*8 1*9 1*10 1*11 1*12
2*6 2*7 2*8 2*9 2*10 2*11 2*12
3*6 3*7 3*8 3*9 3*10 3*11 3*12
4*6 4*7 4*8 4*9 4*10 4*11 4*12
5*6 5*7 5*8 5*9 5*10 5*11 5*12
6*6 6*7 6*8 6*9 6*10 6*11 6*12
or
6 7 8 9 10 11 12
12 14 16 18 20 24
18 21 24 27 30 33 36
24 28 32 36 40 44 48
30 35 40 45 50 55 60
36 42 48 54 60 66 72
.
.
.
Only 9 of them are odd(7,9,11,21,27,33,35,45,55).
So
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