Respuesta :
Answer:
0.15%
Step-by-step explanation:
The probability of rolling a 7 on a 8-sided die will always be:
[tex]1/8[/tex]
We know that for the first two tries that there is 7/8 chance that the die will land on anything but a 7:
[tex]=(7/8)\cdot{(7/8)}=49/64=0.77[/tex]
For the die to land on a 7 the 3rd, 4th and 5th try is:
[tex]=(1/8)\cdot{(1/8)}\cdot{(1/8)}=1/512[/tex]
The probability is therefore:
[tex]{1/512)\cdot{(49/64)}=49/32768=0.00149[/tex]
The probability that the die will land on a 7 not on the first and second try but on the 3rd, 4th and 5th try is 0.15%
