A video game gives a special bonus when the player collects a coin if the player collects the coin at the moment when the last digit of the milliseconds in the game's timer equals
1
11. Players don't see this timer, so all
10
1010 digits are equally likely, and there is a
1
11 in
10
1010 chance that a player gets the bonus on any given coin collected. Let
�
CC be the number of coins a player has to collect to first get the bonus. Assume that the last digits are independent of each other.
Find the probability that the player gets the bonus on the
4
th
4
th
4, start superscript, start text, t, h, end text, end superscript coin the player collects.
You may round your answer to the nearest hundredth.
�
(
�
=
4
)
=
P(C=4)=P, left parenthesis, C, equals, 4, right parenthesis, equals
