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Basic probability

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Senior Manager
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Joined: 23 Mar 2011
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Basic probability [#permalink] New post 24 Nov 2011, 10:22
Can somebody help me understand this basic of probability please? "What is the probability of throwing 2 fair dices, getting first number always greater than the second number" . Please note, its not a sum from any book, but was used in one of the classes I attended as an explanation, which I could not still follow.
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Re: Basic probability [#permalink] New post 24 Nov 2011, 10:51
"What is the probability of throwing 2 fair dices, getting first number always greater than the second number"

For example

probability for the 1st dice is 1/6

probability for the 2nd dice is 1 - 1/6 = 5/6

So first number always greater than the second number
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Re: Basic probability [#permalink] New post 24 Nov 2011, 12:18
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Here are the all possible outcomes.

(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)


All possible outcomes = 36

Favorable outcomes are those in green above = 15

Probability = Favorable outcomes/All possible outcomes = 15/36 = 5/12
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Posts: 474
Location: India
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Re: Basic probability [#permalink] New post 26 Nov 2011, 08:04
Hi Prateek, I made the same mistake. Icanwill is absolutely right, I started that way, guess did not consider all outcomes of the numbers like Icanwill did, so went wrong. 5/12 is correct. But there is another explanation to it.
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"When the going gets tough, the tough gets going!"

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-----------------------------
Quant Notes consolidated: consolodited-quant-guides-of-forum-most-helpful-in-preps-151067.html#p1217652

My GMAT journey begins: my-gmat-journey-begins-122251.html

All about Richard Ivey: all-about-richard-ivey-148594.html#p1190518

Re: Basic probability   [#permalink] 26 Nov 2011, 08:04
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