Question
You have a fair 18-face die where each side can either be a $4$ or a $2$. If the expected value of each die roll is $\frac{8}{3}$, how many $2$s are on the die?
easy Brainteasers
A release-checked easy problem for training Expected Value/LOTUS, Dice.
You have a fair 18-face die where each side can either be a $4$ or a $2$. If the expected value of each die roll is $\frac{8}{3}$, how many $2$s are on the die?
This Brainteasers problem is tagged Expected Value/LOTUS, Dice. State the random variables and conditioning information explicitly, then check the result against boundary cases before opening hints or a solution.
Brainteasers · Marshall Wace, Akuna
Brainteasers
Brainteasers · SIG, Jane Street
Brainteasers · Citadel
Brainteasers · Optiver, SIG
Brainteasers · Jane Street, Belvedere Trading