Probability for place numbers

What is the probability of rolling the same place number (any of them) multiple times before a 7? Ex. If I do a place bet of $5 on a 4 and I hit it 5 times before I lose to a 7. Could you also figure out the probability of Rolling a 7 multiple times before losing to a place number (any is fine). Appreciate any response. Thanks 🙏

Quote: Farha123

What is the probability of rolling the same place number (any of them) multiple times before a 7? Ex. If I do a place bet of $5 on a 4 and I hit it 5 times before I lose to a 7.

the probabilities
for 4 or 10 (3/9)
for 5 or 9 (4/10)
for 6 or 8 (5/11)

4 or 10 times B4 7	prob	1 in
1	0.333333333	3.00
2	0.111111111	9.00
3	0.037037037	27.00
4	0.012345679	81.00
5	0.004115226	243.00
6	0.001371742	729.00
7	0.000457247	2,187.00
8	0.000152416	6,561.00
9	5.08053E-05	19,683.00
10	1.69351E-05	59,049.00

5 or 9 times B4 7	prob	1 in
1	0.4	2.50
2	0.16	6.25
3	0.064	15.63
4	0.0256	39.06
5	0.01024	97.66
6	0.004096	244.14
7	0.0016384	610.35
8	0.00065536	1,525.88
9	0.000262144	3,814.70
10	0.000104858	9,536.74

6 or 8 times B4 7	prob	1 in
1	0.454545455	2.20
2	0.20661157	4.84
3	0.09391435	10.65
4	0.042688341	23.43
5	0.019403791	51.54
6	0.008819905	113.38
7	0.004009048	249.44
8	0.001822294	548.76
9	0.000828316	1,207.27
10	0.000376507	2,655.99

Quote: Farha123

Could you also figure out the probability of Rolling a 7 multiple times before losing to a place number (any is fine). Appreciate any response. Thanks 🙏

you mean something different as betting on the any 7 will lose to any other number than a 7.

I think you mean the chance a 7 will roll X times before Y place bet rolls
the probabilities
7 before 4 or 10 (6/9)
7 before 5 or 9 (6/10)
7 before 6 or 8 (6/11)

7 B4 a 4 or 10. times	prob	1 in
1	0.666666667	1.50
2	0.444444444	2.25
3	0.296296296	3.38
4	0.197530864	5.06
5	0.131687243	7.59
6	0.087791495	11.39
7	0.058527663	17.09
8	0.039018442	25.63
9	0.026012295	38.44
10	0.01734153	57.67

7 B4 a 5 or 9. times	prob	1 in
1	0.6	1.67
2	0.36	2.78
3	0.216	4.63
4	0.1296	7.72
5	0.07776	12.86
6	0.046656	21.43
7	0.0279936	35.72
8	0.01679616	59.54
9	0.010077696	99.23
10	0.006046618	165.38

7 B4 a 6 or 8. times	prob	1 in
1	0.545454545	1.83
2	0.297520661	3.36
3	0.162283997	6.16
4	0.088518544	11.30
5	0.048282842	20.71
6	0.026336096	37.97
7	0.014365143	69.61
8	0.007835533	127.62
9	0.004273927	233.98
10	0.002331233	428.96

hope this can help you out
(I had this data already. looks correct to me)

Looks like your 1-in-X column is rounded.

Quote: RS

Looks like your 1-in-X column is rounded.

I was just noticing that. IT was not rounded for place 4 or 10 B4 7
that is what caught my eye

now to see the progression to bet this from the OP, I am guessing

Thank you 7craps, Really appreciate it. Exactly what I was trying to figure out!