Answer:
The probability of rolling a dice six time until a 7 is first seen is 0.059
Step-by-step explanation:
The probability of getting a seven is equal to [tex]\frac{1}{10}[/tex]
The dice need to be rolled only six times.
This means that for the first 5 times the dice showed values other than 7 and in the last roll it displays 7
Hence the probability of rolling a dice six time until a 7 is first seen is
[tex](\frac{9}{10})^5 * (\frac{1}{10})^1[/tex]
[tex]= \frac{9^5}{10^6} \\= 5.90[/tex] % or 0.059
