Question

Question #d7fea

Answer 1

`(1/4)^50 = (1/(1.2676506002×10^30))`

Explanation:

For each question there is a 1 in 4 chance of each answer being right:
`1/4 = 0.25 = 25%`

Since each answer is independent of the others, you would multiply the probabilities of each event to find the probability of getting all the questions right:
`1/4 * 1/4 * 1/4 ...`

Because you have to write it out 50 times, it is easier to use an exponent. Since you are multiplying `1/4` by itself 50 times, you can write it as:
`(1/4)^50 = (1/(1.2676506002×10^30))`

This is a minuscule number that is just barely above 0.
This means that there is nearly a 0% chance of getting a 100% on this multiple choice test by only guessing.