A certain roller coaster has 4 cars, and a passenger is equally likely to ride in any 1 of the 4 cars each time that passenger rides the roller coaster. If a certain passenger is to ride the roller coaster 4 times, what is the probability that the passenger will ride in each of the 4 cars? Select the correct option
A) 0  B) 1/9  C) 2/9  D) 3/32  E) 1
If he is to ride 4 times and since he can choose any of the 4 cars each time, total number of ways is   = 4 * 4 * 4 * 4= 
<gadget id="calculator">4 * 4 * 4 * 4</gadget>
<output>256</output>
256   Now the number of ways if he is to choose a different car each time is= 4* 3 * 2 * 1= 
<gadget id="calculator">4* 3 * 2 * 1</gadget>
<output>24</output>
24   So the probability is= 24/256 =6/64=3/32   = 3/32   Answer : 3/32
<result>D</result>
A certain roller coaster has 4 cars, and a passenger is equally likely to ride in any 1 of the 4 cars each time that passenger rides the roller coaster. If a certain passenger is to ride the roller coaster 4 times, what is the probability that the passenger will ride in each of the 4 cars?