Gce Model Questions Vol1 2025 Mathematics Question 47

Practice objective / multiple choice question 47 from the 2025 Gce Model Questions Vol1 Mathematics examination.

Gce Model Questions Vol1 2025 Mathematics Objective / Multiple Choice Hard Difficulty
Question 47 GCE_MODEL_QUESTIONS_VOL1 • 2025 • MATHEMATICS • objective

A game uses a fair six‑sided die and a biased coin that shows heads with probability \(p\). The player rolls the die; if an even number appears they flip the coin twice, otherwise they flip it three times. The player wins if exactly two heads are obtained in total. Given that the probability of winning is \(0.2\), determine the value of \(p\) (to three decimal places).

Answer Options

A. 0.250
Correct Answer B. 0.373
C. 0.417
D. 0.333
Correct Answer
B
Correct Option:
0.373

About This Question

This is Gce Model Questions Vol1 2025 Mathematics Question 47. It is one of the objective questions from the 2025 Gce Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

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