Probability of the first die
I am working on the following problem.
If you toss two dice, what is the probability that the first dice shows a face of 6, given that the sum of both faces is an 8?
Am I wrong to assume that both rolls are independent? If not, wouldn't the probability just be the following:
$$frac{1}{6} approx 16.67%$$
Thank you!
probability dice
asked Dec 4 '18 at 2:56
Lee
1015
add a comment |
I am working on the following problem.
If you toss two dice, what is the probability that the first dice shows a face of 6, given that the sum of both faces is an 8?
Am I wrong to assume that both rolls are independent? If not, wouldn't the probability just be the following:
$$frac{1}{6} approx 16.67%$$
Thank you!
probability dice
asked Dec 4 '18 at 2:56
Lee
1015
add a comment |
I am working on the following problem.
If you toss two dice, what is the probability that the first dice shows a face of 6, given that the sum of both faces is an 8?
Am I wrong to assume that both rolls are independent? If not, wouldn't the probability just be the following:
$$frac{1}{6} approx 16.67%$$
Thank you!
probability dice
asked Dec 4 '18 at 2:56
Lee
1015
I am working on the following problem.
If you toss two dice, what is the probability that the first dice shows a face of 6, given that the sum of both faces is an 8?
Am I wrong to assume that both rolls are independent? If not, wouldn't the probability just be the following:
$$frac{1}{6} approx 16.67%$$
Thank you!
probability dice
probability dice
asked Dec 4 '18 at 2:56
Lee
1015
asked Dec 4 '18 at 2:56
Lee
1015
asked Dec 4 '18 at 2:56
Lee
1015
asked Dec 4 '18 at 2:56
Lee
1015
asked Dec 4 '18 at 2:56
Lee
1015
1015
add a comment |
add a comment |
1 Answer
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Yes, you are wrong, because the information that the sum is $8$ means the rolls are not independent. In particular, the first roll cannot be $1$ (nor can the second).
answered Dec 4 '18 at 3:00
Ross Millikan
292k23197371
I see what you are saying. Thank you for the information!
– Lee
Dec 4 '18 at 3:02
add a comment |
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1 Answer
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1 Answer
1
active
oldest
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oldest
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votes
Yes, you are wrong, because the information that the sum is $8$ means the rolls are not independent. In particular, the first roll cannot be $1$ (nor can the second).
answered Dec 4 '18 at 3:00
Ross Millikan
292k23197371
I see what you are saying. Thank you for the information!
– Lee
Dec 4 '18 at 3:02
add a comment |
Yes, you are wrong, because the information that the sum is $8$ means the rolls are not independent. In particular, the first roll cannot be $1$ (nor can the second).
answered Dec 4 '18 at 3:00
Ross Millikan
292k23197371
I see what you are saying. Thank you for the information!
– Lee
Dec 4 '18 at 3:02
add a comment |
Yes, you are wrong, because the information that the sum is $8$ means the rolls are not independent. In particular, the first roll cannot be $1$ (nor can the second).
answered Dec 4 '18 at 3:00
Ross Millikan
292k23197371
Yes, you are wrong, because the information that the sum is $8$ means the rolls are not independent. In particular, the first roll cannot be $1$ (nor can the second).
answered Dec 4 '18 at 3:00
Ross Millikan
292k23197371
answered Dec 4 '18 at 3:00
Ross Millikan
292k23197371
answered Dec 4 '18 at 3:00
Ross Millikan
292k23197371
answered Dec 4 '18 at 3:00
Ross Millikan
292k23197371
292k23197371
I see what you are saying. Thank you for the information!
– Lee
Dec 4 '18 at 3:02
add a comment |
I see what you are saying. Thank you for the information!
– Lee
Dec 4 '18 at 3:02
I see what you are saying. Thank you for the information!
– Lee
Dec 4 '18 at 3:02
I see what you are saying. Thank you for the information!
– Lee
Dec 4 '18 at 3:02
add a comment |
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