What are the player's expected winnings in one…

What are the player's expected winnings in one game?

Question 45

MediumOriginal question

At a fair a player rolls a fair die once. A 6 wins ₹30, a 5 wins ₹12, and any other number loses ₹6. Let $X$ be the player's winnings in rupees.

What are the player's expected winnings in one game?

₹3Correct answerYour answer₹4Correct answerYour answer₹7Correct answerYour answer₹12Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer A

Correct answer: A

$E(X) = 30\left(\frac{1}{6}\right) + 12\left(\frac{1}{6}\right) - 6\left(\frac{4}{6}\right)$ .
$5 + 2 - 4 = 3$ rupees.

Worth noting

₹7 leaves out the losses.

Ten questions from Random Variables, Expectation & Variance, at your own pace.

Ten questions from Random Variables, Expectation & Variance, at your own pace.