Since a die has 6 faces, you have one chance in 6 of a single roll being a 5. Likewise, you have once chance in 6 that the second roll will be a 2.
So, 1 chance in 6, or 1/6, times 1/6 again for the second roll, gives a product of 1/36 (since 6 times 6 = 36)
Now, this assumes you mean a 5 and a 2 in that order. If you mean the first roll can be either a 5 or a 2, and the second roll must be the other number, that changes the problem. Since the odds on the first roll are now 2 out of 6, rather than 1 out of 6, your chances improve. The answer there is 1/18. That is, 2/6 times 1/6.
2006-08-22 13:14:46
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answer #1
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answered by Carlos R 5
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With this kind of probability problem, you are dealing with two independent events and trying to figure out the odds of both of them happening.
The probability of rolling a single die and getting a 5 is one of out six (that's easy, right?)
The odds of rolling a single die and getting a 2 is also one out of six.
Now to find the probability of getting first the five and the six, you have to multiply the probability of each independent event. That gives you the odds of both happening.
So 1/6 x 1/6 = 1/36
Another way to think about this is to think about all the possible pairs of outcomes from two rolls of the die. There are 36 possible results:
(1,1), (1,2), (1,3), (1,4), (1,5), (1,6),
(2,1), (2,2), (2,3), (2,4), (2,5), (2,6),
(3,1), (3,2), (3,3), (3,4), (3,5), (3,6),
(4,1), (4,2), (4,3), (4,4), (4,5), (4,6),
(5,1), (5,2), (5,3), (5,4), (5,5), (5,6),
(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)
Out of these 36 outcomes, there is only one outcome where you roll 5 first and 2 second.
2006-08-22 13:16:47
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answer #5
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answered by just♪wondering 7
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