Gce Model Questions Vol1 2022 Further Mathematics Question 1

Practice objective / multiple choice question 1 from the 2022 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2022 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 1 GCE_MODEL_QUESTIONS_VOL1 • 2022 • FURTHER_MATHEMATICS • objective

A game uses a fair six‑sided die. If the result is 1 or 2 you win £5. If the result is 3, 4 or 5 you win an amount in pounds equal to the face value. If the result is 6 you lose £x. The expected gain from a single throw is £2. (i) Find the value of x. (ii) Using this value, determine the variance of the gain. (iii) Finally, calculate the probability that a single throw yields a gain of at least £4.

Answer Options

A. x = 10; variance = 90/3; probability = 2/3
B. x = 12; variance = 92/3; probability = 3/4
C. x = 8; variance = 80/3; probability = 1/2
Correct Answer D. x = 10; variance = 88/3; probability = 2/3
Correct Answer
D
Correct Option:
x = 10; variance = 88/3; probability = 2/3

About This Question

This is Gce Model Questions Vol1 2022 Further Mathematics Question 1. It is one of the objective questions from the 2022 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Hard .

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