probability

A world record was set in a given year for the longest run on an ungaffed (fair) roulette wheel. The number 33 appeared 5 times in a row. What is the probability of the occurrence of this event?

Question

probability 

A world record was set in a given year for the longest run on an ungaffed (fair) roulette wheel. The number 33 appeared 5 times in a row. What is the probability of the occurrence of this event?

anonymous · Answer

Assume that there are 38 equally likely outcomes consisting of the number 1-36, 0, and 00.

ybarrap · Answer

Each event is independent and the probability of each event is 1/38. Therefore, the probability of 33 appearing 5 times in a row is:
$$
\large
\left(\cfrac{1}{38}\right )^5
$$

anonymous · Answer

how would it look in scientific notation?

anonymous · Answer

3.8 * 10^5 ?

ybarrap · Answer

Remember that this is a probability and must be less that 1. 10^5 is much greater than 1. The ans in sci notation is:
$$
1.26(10)^{-8}
$$

anonymous · Answer

ohh okay !!! I was doing this wayyy wrong !!