Question

If you randomly choose two letters from the word "JANUARY ", find the probability that you choose letter J first and then A after replacing the first. Round answer to nearest tenth and include percent sign. Also, does this represent an independent or dependent scenario?

Answer 1

2.0%

Explanation:

The probability of two events happening in the sequence is calculated by multiplying the probability of each event happening separately by one another. Since there are a total of 7 letters in this word then the probability of choosing one letter correctly is
`(1)/(7)` . Since the first letter is replaced before choosing the second letter the probability remains the same. Therefore, the sequence would be the following...

`(1)/(7) * (1)/(7)` = 0.020164 or 2.0%

This is an independent scenario because it does not depend on any external factors and under these circumstances the percentage will remain the same.