Question 131453: provide me the solution please
If two dices are rolled,find the probability that
1). two faces shows same number.
2). the sum of the two faces are greater than 1.
3). sum is atleast 9.
4). sum is odd.
5). sum is almost 3.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! You will be anble to see the answer to these questions if
you will sketch the sample space as a 6 by 6 square with
1,2,3...6labels on the top and 1,2,3...6 labels on the side.
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The 1st row entries will be 11,12,13,14,15,16
The 2nd row entries will be 21,22,23,24,25,26
etc.
The 6th row entries will be 61,62,63,64,65,66
You should end up with 36 entries; they are all
the possible results from rolling two dice.
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If two dices are rolled,find the probability that
1). two faces shows same number: you should see 11,22,33,44,55,66
P(same number) = 6/36 = 1/6
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2). the sum of the two faces are greater than 1.
This is true of all the pairs: P(sum >1) = 36/36 = 1
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3). sum is atleast 9
36,45,46,54,55,56,61,62,63,64,65,66
P(sum>=6) = 12/36 = 1/3
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4). sum is odd.
I'll let you do that
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5). sum is almost 3.
"almost" is not a well-defined term in mathematics.
No answer to this one.
The answer is subjective---that means different people would have
different interpretations of the word "almost".
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Cheers,
Stan H.
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