Gce Model Questions Vol1 2021 Further Mathematics Question 22

Practice objective / multiple choice question 22 from the 2021 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2021 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 22 GCE_MODEL_QUESTIONS_VOL1 • 2021 • FURTHER_MATHEMATICS • objective

An urn contains red, blue and green balls. The numbers are \(2x\) red, \(x+3\) blue and \(5\) green, and the total number of balls is \(35\). A sample of \(4\) balls is drawn without replacement. (i) Find \(x\). (ii) Find the probability that exactly two of the drawn balls are red. (iii) Find the expected number of red balls in the sample.

Answer Options

A. x = 9; probability = 2601/6000; expected number = 72/30
Correct Answer B. x = 9; probability = 2601/6545; expected number = 72/35
C. x = 10; probability = 2800/6545; expected number = 80/35
D. x = 8; probability = 2401/6545; expected number = 64/35
Correct Answer
B
Correct Option:
x = 9; probability = 2601/6545; expected number = 72/35

About This Question

This is Gce Model Questions Vol1 2021 Further Mathematics Question 22. It is one of the objective questions from the 2021 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Hard .

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