Neco 2017 Further Mathematics Question 26

Practice objective / multiple choice question 26 from the 2017 Neco Further Mathematics examination.

Neco 2017 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 26 NECO • 2017 • FURTHER_MATHEMATICS • objective

An urn contains 4 red balls and 6 blue balls. Two balls are drawn sequentially without replacement. (a) Given that at least one of the drawn balls is red, find the probability that both balls are red. (b) If the experiment in part (a) is repeated independently until the event \(\text{both drawn balls are red}\) occurs, what is the expected number of repetitions required?

Answer Options

A. \\(\\frac{2}{5}\\); \\(\\frac{12}{5}\\)
Correct Answer B. \(\frac{1}{5}\); \(\frac{15}{2}\)
C. \\(\\frac{3}{10}\\); \\(\\frac{9}{2}\\)
D. \\(\\frac{1}{4}\\); \\(\\frac{10}{3}\\)
Correct Answer
B
Correct Option:
\(\frac{1}{5}\); \(\frac{15}{2}\)

About This Question

This is Neco 2017 Further Mathematics Question 26. It is one of the objective questions from the 2017 Neco Further Mathematics examination.

Difficulty level: Hard .

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