Probability Question: I'm having trouble coming up with the cases for when A will win and B
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Players A and B take turns rolling two fair dice. Player A wins if he rolls a sum less than or equal to 5. Player B wins if she rolls a sum greater than or equal to 6. The game continues until someone wins.
(a) Assuming that Player A goes first and assuming that the rolls of the dice are independent
of each other, find the probability mass function for X where X is the random variable
which counts the number of rolls it takes for B to win.
possibilities: 2 dice 6^2 = 36possibilities
A: 10/36 chance of winning
B: 26/36 chance of winning
stuck on the cases for when x=1,2,..k
probability probability-distributions
asked Dec 1 at 3:07
alxanderapollo
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up vote
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Players A and B take turns rolling two fair dice. Player A wins if he rolls a sum less than or equal to 5. Player B wins if she rolls a sum greater than or equal to 6. The game continues until someone wins.
(a) Assuming that Player A goes first and assuming that the rolls of the dice are independent
of each other, find the probability mass function for X where X is the random variable
which counts the number of rolls it takes for B to win.
possibilities: 2 dice 6^2 = 36possibilities
A: 10/36 chance of winning
B: 26/36 chance of winning
stuck on the cases for when x=1,2,..k
probability probability-distributions
asked Dec 1 at 3:07
alxanderapollo
1
New contributor
alxanderapollo is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
Learn to format your post, and show what you have tried and what specific difficulties you have.
– Ya G
Dec 1 at 3:24
add a comment |
up vote
-3
down vote
favorite
up vote
-3
down vote
favorite
Players A and B take turns rolling two fair dice. Player A wins if he rolls a sum less than or equal to 5. Player B wins if she rolls a sum greater than or equal to 6. The game continues until someone wins.
(a) Assuming that Player A goes first and assuming that the rolls of the dice are independent
of each other, find the probability mass function for X where X is the random variable
which counts the number of rolls it takes for B to win.
possibilities: 2 dice 6^2 = 36possibilities
A: 10/36 chance of winning
B: 26/36 chance of winning
stuck on the cases for when x=1,2,..k
probability probability-distributions
asked Dec 1 at 3:07
alxanderapollo
1
New contributor
alxanderapollo is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
Players A and B take turns rolling two fair dice. Player A wins if he rolls a sum less than or equal to 5. Player B wins if she rolls a sum greater than or equal to 6. The game continues until someone wins.
(a) Assuming that Player A goes first and assuming that the rolls of the dice are independent
of each other, find the probability mass function for X where X is the random variable
which counts the number of rolls it takes for B to win.
possibilities: 2 dice 6^2 = 36possibilities
A: 10/36 chance of winning
B: 26/36 chance of winning
stuck on the cases for when x=1,2,..k
probability probability-distributions
probability probability-distributions
asked Dec 1 at 3:07
alxanderapollo
1
New contributor
alxanderapollo is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked Dec 1 at 3:07
alxanderapollo
1
New contributor
alxanderapollo is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked Dec 1 at 3:07
alxanderapollo
1
New contributor
alxanderapollo is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked Dec 1 at 3:07
alxanderapollo
1
asked Dec 1 at 3:07
alxanderapollo
1
1
New contributor
alxanderapollo is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
alxanderapollo is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
alxanderapollo is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
Learn to format your post, and show what you have tried and what specific difficulties you have.
– Ya G
Dec 1 at 3:24
add a comment |
Learn to format your post, and show what you have tried and what specific difficulties you have.
– Ya G
Dec 1 at 3:24
Learn to format your post, and show what you have tried and what specific difficulties you have.
– Ya G
Dec 1 at 3:24
Learn to format your post, and show what you have tried and what specific difficulties you have.
– Ya G
Dec 1 at 3:24
add a comment |
1 Answer
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Notice that $P(A)^c=P(B)$. Then, you can simply create geometric distribution using those.
Will provide the answer if you comment what you have deduced, using the above fact.
answered Dec 1 at 3:22
Ya G
35019
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
0
down vote
Notice that $P(A)^c=P(B)$. Then, you can simply create geometric distribution using those.
Will provide the answer if you comment what you have deduced, using the above fact.
answered Dec 1 at 3:22
Ya G
35019
add a comment |
up vote
0
down vote
Notice that $P(A)^c=P(B)$. Then, you can simply create geometric distribution using those.
Will provide the answer if you comment what you have deduced, using the above fact.
answered Dec 1 at 3:22
Ya G
35019
add a comment |
up vote
0
down vote
up vote
0
down vote
Notice that $P(A)^c=P(B)$. Then, you can simply create geometric distribution using those.
Will provide the answer if you comment what you have deduced, using the above fact.
answered Dec 1 at 3:22
Ya G
35019
Notice that $P(A)^c=P(B)$. Then, you can simply create geometric distribution using those.
Will provide the answer if you comment what you have deduced, using the above fact.
answered Dec 1 at 3:22
Ya G
35019
edited Dec 1 at 3:28
answered Dec 1 at 3:22
Ya G
35019
answered Dec 1 at 3:22
Ya G
35019
answered Dec 1 at 3:22
Ya G
35019
35019
add a comment |
add a comment |
alxanderapollo is a new contributor. Be nice, and check out our Code of Conduct.
alxanderapollo is a new contributor. Be nice, and check out our Code of Conduct.
alxanderapollo is a new contributor. Be nice, and check out our Code of Conduct.
alxanderapollo is a new contributor. Be nice, and check out our Code of Conduct.
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