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The result of rolling a fair die 150 times is as summarized in the table...

Mathematics
JAMB 2008

The result of rolling a fair die 150 times is as summarized in the table above. What is the probability of obtaining a 5?

  • A. 3/10
  • B. 1/5
  • C. 1/6
  • D. 1/10
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Correct Answer: Option B
Explanation

Total possible outcome
12+18+x+30+2x+45 = 105+3x
∴105+3x = 150
3x = 150-105
3x = 45
x = 15
P(obtaining 5) = \(\frac{2x}{(105+3x)}But x= 15\\
=\frac{2(15)}{(105+3(15))}\\
=\frac{30}{(105+45)}\\
=\frac{30}{150}\\
=\frac{1}{5}\)

There is an explanation video available below.


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Explanation Video

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WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709