Probably of winning with 2 dice against 1
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could some of you help me to find out what is the probability of A) obtain with two dice a greather number than another die?
B) and if the dice are 3 how can I do?
Not the sum of the 2 dice, but the greatest value of those 2 against another die
probability recreational-mathematics conditional-probability
asked Nov 16 at 10:00
Nicholas Salis
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add a comment |
up vote
-4
down vote
favorite
could some of you help me to find out what is the probability of A) obtain with two dice a greather number than another die?
B) and if the dice are 3 how can I do?
Not the sum of the 2 dice, but the greatest value of those 2 against another die
probability recreational-mathematics conditional-probability
asked Nov 16 at 10:00
Nicholas Salis
62
New contributor
Nicholas Salis is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
There are $;6^3=216;$ possible outcomes when you throws 3 dice. If you don't distinguish between the two dice and the one die, count in how many of these outcomes two results summed is great than the third outcome...
– DonAntonio
Nov 16 at 10:31
add a comment |
up vote
-4
down vote
favorite
up vote
-4
down vote
favorite
could some of you help me to find out what is the probability of A) obtain with two dice a greather number than another die?
B) and if the dice are 3 how can I do?
Not the sum of the 2 dice, but the greatest value of those 2 against another die
probability recreational-mathematics conditional-probability
asked Nov 16 at 10:00
Nicholas Salis
62
New contributor
Nicholas Salis is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
could some of you help me to find out what is the probability of A) obtain with two dice a greather number than another die?
B) and if the dice are 3 how can I do?
Not the sum of the 2 dice, but the greatest value of those 2 against another die
probability recreational-mathematics conditional-probability
probability recreational-mathematics conditional-probability
asked Nov 16 at 10:00
Nicholas Salis
62
New contributor
Nicholas Salis is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked Nov 16 at 10:00
Nicholas Salis
62
New contributor
Nicholas Salis is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited Nov 16 at 10:28
asked Nov 16 at 10:00
Nicholas Salis
62
New contributor
Nicholas Salis is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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asked Nov 16 at 10:00
Nicholas Salis
62
asked Nov 16 at 10:00
Nicholas Salis
62
62
New contributor
Nicholas Salis is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
Nicholas Salis is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
Nicholas Salis is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
There are $;6^3=216;$ possible outcomes when you throws 3 dice. If you don't distinguish between the two dice and the one die, count in how many of these outcomes two results summed is great than the third outcome...
– DonAntonio
Nov 16 at 10:31
add a comment |
There are $;6^3=216;$ possible outcomes when you throws 3 dice. If you don't distinguish between the two dice and the one die, count in how many of these outcomes two results summed is great than the third outcome...
– DonAntonio
Nov 16 at 10:31
There are $;6^3=216;$ possible outcomes when you throws 3 dice. If you don't distinguish between the two dice and the one die, count in how many of these outcomes two results summed is great than the third outcome...
– DonAntonio
Nov 16 at 10:31
There are $;6^3=216;$ possible outcomes when you throws 3 dice. If you don't distinguish between the two dice and the one die, count in how many of these outcomes two results summed is great than the third outcome...
– DonAntonio
Nov 16 at 10:31
add a comment |
1 Answer
1
active
oldest
votes
up vote
0
down vote
If $X$ is the sum of the two dice, and $Y$ the value of the one die, then
what are the possible outcomes $(x,y)$ and which one are "winning"? Then compute their probabilities by independence and add.
Or compute when the one die wins :
$P(Y=6)P(X le 5) + P(Y=5)P(X le 4) + P(Y=4)P(X le 3) + P(Y=3)P(X le 2)$
which equals $frac{1}{6}(frac{1}{36} + frac{3}{36} + frac{6}{36} + frac{10}{36})$
and take the complement of that.
answered Nov 16 at 10:23
Henno Brandsma
101k344107
I'm not talking about the sum of the dice but about the maximum value of those two. For example, I roll 2 dice and obtain 5 and 2, roll another and I obtain 3. I want to compare 5 with 3, so the max of those 2 against the one
– Nicholas Salis
Nov 16 at 10:26
@NicholasSalis then adapt the computation.
– Henno Brandsma
Nov 16 at 10:26
add a comment |
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
0
down vote
If $X$ is the sum of the two dice, and $Y$ the value of the one die, then
what are the possible outcomes $(x,y)$ and which one are "winning"? Then compute their probabilities by independence and add.
Or compute when the one die wins :
$P(Y=6)P(X le 5) + P(Y=5)P(X le 4) + P(Y=4)P(X le 3) + P(Y=3)P(X le 2)$
which equals $frac{1}{6}(frac{1}{36} + frac{3}{36} + frac{6}{36} + frac{10}{36})$
and take the complement of that.
answered Nov 16 at 10:23
Henno Brandsma
101k344107
I'm not talking about the sum of the dice but about the maximum value of those two. For example, I roll 2 dice and obtain 5 and 2, roll another and I obtain 3. I want to compare 5 with 3, so the max of those 2 against the one
– Nicholas Salis
Nov 16 at 10:26
@NicholasSalis then adapt the computation.
– Henno Brandsma
Nov 16 at 10:26
add a comment |
up vote
0
down vote
If $X$ is the sum of the two dice, and $Y$ the value of the one die, then
what are the possible outcomes $(x,y)$ and which one are "winning"? Then compute their probabilities by independence and add.
Or compute when the one die wins :
$P(Y=6)P(X le 5) + P(Y=5)P(X le 4) + P(Y=4)P(X le 3) + P(Y=3)P(X le 2)$
which equals $frac{1}{6}(frac{1}{36} + frac{3}{36} + frac{6}{36} + frac{10}{36})$
and take the complement of that.
answered Nov 16 at 10:23
Henno Brandsma
101k344107
I'm not talking about the sum of the dice but about the maximum value of those two. For example, I roll 2 dice and obtain 5 and 2, roll another and I obtain 3. I want to compare 5 with 3, so the max of those 2 against the one
– Nicholas Salis
Nov 16 at 10:26
@NicholasSalis then adapt the computation.
– Henno Brandsma
Nov 16 at 10:26
add a comment |
up vote
0
down vote
up vote
0
down vote
If $X$ is the sum of the two dice, and $Y$ the value of the one die, then
what are the possible outcomes $(x,y)$ and which one are "winning"? Then compute their probabilities by independence and add.
Or compute when the one die wins :
$P(Y=6)P(X le 5) + P(Y=5)P(X le 4) + P(Y=4)P(X le 3) + P(Y=3)P(X le 2)$
which equals $frac{1}{6}(frac{1}{36} + frac{3}{36} + frac{6}{36} + frac{10}{36})$
and take the complement of that.
answered Nov 16 at 10:23
Henno Brandsma
101k344107
If $X$ is the sum of the two dice, and $Y$ the value of the one die, then
what are the possible outcomes $(x,y)$ and which one are "winning"? Then compute their probabilities by independence and add.
Or compute when the one die wins :
$P(Y=6)P(X le 5) + P(Y=5)P(X le 4) + P(Y=4)P(X le 3) + P(Y=3)P(X le 2)$
which equals $frac{1}{6}(frac{1}{36} + frac{3}{36} + frac{6}{36} + frac{10}{36})$
and take the complement of that.
answered Nov 16 at 10:23
Henno Brandsma
101k344107
answered Nov 16 at 10:23
Henno Brandsma
101k344107
answered Nov 16 at 10:23
Henno Brandsma
101k344107
answered Nov 16 at 10:23
Henno Brandsma
101k344107
101k344107
I'm not talking about the sum of the dice but about the maximum value of those two. For example, I roll 2 dice and obtain 5 and 2, roll another and I obtain 3. I want to compare 5 with 3, so the max of those 2 against the one
– Nicholas Salis
Nov 16 at 10:26
@NicholasSalis then adapt the computation.
– Henno Brandsma
Nov 16 at 10:26
add a comment |
I'm not talking about the sum of the dice but about the maximum value of those two. For example, I roll 2 dice and obtain 5 and 2, roll another and I obtain 3. I want to compare 5 with 3, so the max of those 2 against the one
– Nicholas Salis
Nov 16 at 10:26
@NicholasSalis then adapt the computation.
– Henno Brandsma
Nov 16 at 10:26
I'm not talking about the sum of the dice but about the maximum value of those two. For example, I roll 2 dice and obtain 5 and 2, roll another and I obtain 3. I want to compare 5 with 3, so the max of those 2 against the one
– Nicholas Salis
Nov 16 at 10:26
I'm not talking about the sum of the dice but about the maximum value of those two. For example, I roll 2 dice and obtain 5 and 2, roll another and I obtain 3. I want to compare 5 with 3, so the max of those 2 against the one
– Nicholas Salis
Nov 16 at 10:26
@NicholasSalis then adapt the computation.
– Henno Brandsma
Nov 16 at 10:26
@NicholasSalis then adapt the computation.
– Henno Brandsma
Nov 16 at 10:26
add a comment |
Nicholas Salis is a new contributor. Be nice, and check out our Code of Conduct.
Nicholas Salis is a new contributor. Be nice, and check out our Code of Conduct.
Nicholas Salis is a new contributor. Be nice, and check out our Code of Conduct.
Nicholas Salis is a new contributor. Be nice, and check out our Code of Conduct.
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There are $;6^3=216;$ possible outcomes when you throws 3 dice. If you don't distinguish between the two dice and the one die, count in how many of these outcomes two results summed is great than the third outcome...
– DonAntonio
Nov 16 at 10:31