# Probability

• Feb 8th 2013, 06:49 AM
fsiwaju
Probability
Hey guys !

I need help with the problem below:

If a fair 6-sided die is rolled once, what is the probability of rolling a 3 or an odd number?

Thanks,
• Feb 8th 2013, 07:20 AM
Plato
Re: Probability
Quote:

Originally Posted by fsiwaju
If a fair 6-sided die is rolled once, what is the probability of rolling a 3 or an odd number?

$T$ is the event of rolling a three, $O$ is the event of rolling an odd.

$\mathcal{P}(T\cup O)=\mathcal{P}(T)+\mathcal{P}(O)-\mathcal{P}(T\cap O)$.
• Feb 8th 2013, 07:35 AM
vijaysingh
Re: Probability
Consider Efron’s non-transitive dice where the 6 faces as are in the table below.

Die A 0 0 4 4 4 4
Die B 3 3 3 3 3 3
Die C 2 2 2 2 6 6
Die D 1 1 1 5 5 5

Suppose there are four players in the game and each will choose one die and roll it. The person
who rolls the smallest number will be eliminated. For each die, calculate the probability that
the smallest number observed occurs on that die. Now which die would you choose (assuming
you want to stay in the game rather than reading a good book, having root canal work, etc.)?

plpease help me. Thank you
• Feb 8th 2013, 07:43 AM
Plato
Re: Probability
Here is the OP.
Quote:

Originally Posted by fsiwaju
If a fair 6-sided die is rolled once, what is the probability of rolling a 3 or an odd number?

What does the reply have to do with that?

Quote:

Originally Posted by vijaysingh
Consider Efron’s non-transitive dice where the 6 faces as are in the table below.
Die A 0 0 4 4 4 4
Die B 3 3 3 3 3 3
Die C 2 2 2 2 6 6
Die D 1 1 1 5 5 5

Suppose there are four players in the game and each will choose one die and roll it. The person
who rolls the smallest number will be eliminated. For each die, calculate the probability that
the smallest number observed occurs on that die. Now which die would you choose (assuming
you want to stay in the game rather than reading a good book, having root canal work, etc.)?

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