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Random Variables, Expectation & Variance · Question 44 of 68

Question 44

MediumOriginal question

A raffle sells 1,000 tickets at ₹10 each. One ticket wins ₹5,000 and two win ₹1,000 each. What is the expected net gain from buying one ticket?

Options for question 44

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Expected winnings: 5,000+2×1,0001,000=7\frac{5{,}000 + 2 \times 1{,}000}{1{,}000} = 7 rupees.

  2. Less the ₹10 ticket: 7−10=−37 - 10 = -3 rupees, a loss of ₹3 on average.

Worth noting

₹7 is the expected prize before paying for the ticket.

Concept
The expected gain in a game
Typical time
90 s
Your time
—
The rule this testsMathematical expectation
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Ten questions from Random Variables, Expectation & Variance, at your own pace.

Practise this chapter →

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