If a fair 6-sided die is rolled three times, what is the probability that exactly one 6 is rolled? Choose the correct option
A) 25/216 B) 50/216 C) 25/72 D) 25/36 E) 5/6
Total ways in which a 6-sided die can be rolled three times = 6*6*6= 
<gadget id="calculator">6*6*6</gadget>
<output>216</output>
216   To get exactly one 6, there are three ways:   A 6 on the first roll and non 6 on other two rolls. This can be done in 1*5*5= 
<gadget id="calculator">1*5*5</gadget>
<output>25</output>
25 ways.   The 6 could be on the second or third roll too. So total favorable cases= 25*3= 
<gadget id="calculator">25*3</gadget>
<output>75</output>
75   Required Probability= 75/216 = 25/72   Answer (25/72)
<result>C</result>
If a fair 6-sided die is rolled three times, what is the probability that exactly one 6 is rolled?