Mathematics

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

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
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})