Question

Logan and James have a jelly bean collection. Together, they have 38 flavors. If they decide to randomly choose two flavors, what is the probability that the two they choose will consist of each of their favorite flavors? Assume they have different favorites. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

Answer 1

Sample space = 38

The calculation is based on the fact that there is replacement after the first flavor was made

Probability that both choices are favourite =

$\frac{1}{38}\text{ x }\frac{1}{38}\text{ = }\frac{1}{1444}$