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

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

Answer Details

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