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Random Variables, Expectation & Variance · Question 36 of 68

What is the probability that the player loses money in the dice game?

Question 36

EasyOriginal 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 XX be the player's winnings in rupees.

What is the probability that the player loses money in the dice game?

Options for question 36

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. The player loses on 1, 2, 3 or 4: four of the six faces.

  2. 46=23\frac{4}{6} = \frac{2}{3}.

Worth noting

12\frac{1}{2} counts only 1, 2 and 3 as losing; 4 loses too.

Concept
The probability of a set of outcomes
Typical time
90 s
Your time
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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.