easy Probability
A release-checked easy problem for training Conditional Expectation, Expected Value/LOTUS, Dice.
Lewis lost a bet to Lilly and now he has to eat a lot of pizza. Lilly rolls fair 6-sided dice to determine how much pizza Lewis will have to eat. If Lilly rolls a $4$ or higher, Lewis will eat as many pizzas as the dice shows, and then he can stop. However, if she rolls lower then Lewis must eat as many pizzas as the dice shows, and then Lilly rolls the dice again. What is the expected number of pizzas that Lewis will end up eating?
This Probability problem is tagged Conditional Expectation, 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.
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