(This is the sample space for the probabilistc experiment of rolling a die 4 times.)
1111, 1112, 1113, 1114, 1115, 1116, 1121, 1122, 1123, 1124, 1125, 1126, 1131, 1132, 1133, 1134, 1135, 1136, 1141, 1142, 1143, 1144, 1145, 1146, 1151, 1152, 1153, 1154, 1155, 1156, 1161, 1162, 1163, 1164, 1165, 1166, 1211, 1212, 1213, 1214, 1215, 1216, 1221, 1222, 1223, 1224, 1225, 1226, 1231, 1232, 1233, 1234, 1235, 1236, 1241, 1242, 1243, 1244, 1245, 1246, 1251, 1252, 1253, 1254, 1255, 1256, 1261, 1262, 1263, 1264, 1265, 1266, 1311, 1312, 1313, 1314, 1315, 1316, 1321, 1322, 1323, 1324, 1325, 1326, 1331, 1332, 1333, 1334, 1335, 1336, 1341, 1342, 1343, 1344, 1345, 1346, 1351, 1352, 1353, 1354, 1355, 1356, 1361, 1362, 1363, 1364, 1365, 1366, 1411, 1412, 1413, 1414, 1415, 1416, 1421, 1422, 1423, 1424, 1425, 1426, 1431, 1432, 1433, 1434, 1435, 1436, 1441, 1442, 1443, 1444, 1445, 1446, 1451, 1452, 1453, 1454, 1455, 1456, 1461, 1462, 1463, 1464, 1465, 1466, 1511, 1512, 1513, 1514, 1515, 1516, 1521, 1522, 1523, 1524, 1525, 1526, 1531, 1532, 1533, 1534, 1535, 1536, 1541, 1542, 1543, 1544, 1545, 1546, 1551, 1552, 1553, 1554, 1555, 1556, 1561, 1562, 1563, 1564, 1565, 1566, 1611, 1612, 1613, 1614, 1615, 1616, 1621, 1622, 1623, 1624, 1625, 1626, 1631, 1632, 1633, 1634, 1635, 1636, 1641, 1642, 1643, 1644, 1645, 1646, 1651, 1652, 1653, 1654, 1655, 1656, 1661, 1662, 1663, 1664, 1665, 1666, 2111, 2112, 2113, 2114, 2115, 2116, 2121, 2122, 2123, 2124, 2125, 2126, 2131, 2132, 2133, 2134, 2135, 2136, 2141, 2142, 2143, 2144, 2145, 2146, 2151, 2152, 2153, 2154, 2155, 2156, 2161, 2162, 2163, 2164, 2165, 2166, 2211, 2212, 2213, 2214, 2215, 2216, 2221, 2222, 2223, 2224, 2225, 2226, 2231, 2232, 2233, 2234, 2235, 2236, 2241, 2242, 2243, 2244, 2245, 2246, 2251, 2252, 2253, 2254, 2255, 2256, 2261, 2262, 2263, 2264, 2265, 2266, 2311, 2312, 2313, 2314, 2315, 2316, 2321, 2322, 2323, 2324, 2325, 2326, 2331, 2332, 2333, 2334, 2335, 2336, 2341, 2342, 2343, 2344, 2345, 2346, 2351, 2352, 2353, 2354, 2355, 2356, 2361, 2362, 2363, 2364, 2365, 2366, 2411, 2412, 2413, 2414, 2415, 2416, 2421, 2422, 2423, 2424, 2425, 2426, 2431, 2432, 2433, 2434, 2435, 2436, 2441, 2442, 2443, 2444, 2445, 2446, 2451, 2452, 2453, 2454, 2455, 2456, 2461, 2462, 2463, 2464, 2465, 2466, 2511, 2512, 2513, 2514, 2515, 2516, 2521, 2522, 2523, 2524, 2525, 2526, 2531, 2532, 2533, 2534, 2535, 2536, 2541, 2542, 2543, 2544, 2545, 2546, 2551, 2552, 2553, 2554, 2555, 2556, 2561, 2562, 2563, 2564, 2565, 2566, 2611, 2612, 2613, 2614, 2615, 2616, 2621, 2622, 2623, 2624, 2625, 2626, 2631, 2632, 2633, 2634, 2635, 2636, 2641, 2642, 2643, 2644, 2645, 2646, 2651, 2652, 2653, 2654, 2655, 2656, 2661, 2662, 2663, 2664, 2665, 2666, 3111, 3112, 3113, 3114, 3115, 3116, 3121, 3122, 3123, 3124, 3125, 3126, 3131, 3132, 3133, 3134, 3135, 3136, 3141, 3142, 3143, 3144, 3145, 3146, 3151, 3152, 3153, 3154, 3155, 3156, 3161, 3162, 3163, 3164, 3165, 3166, 3211, 3212, 3213, 3214, 3215, 3216, 3221, 3222, 3223, 3224, 3225, 3226, 3231, 3232, 3233, 3234, 3235, 3236, 3241, 3242, 3243, 3244, 3245, 3246, 3251, 3252, 3253, 3254, 3255, 3256, 3261, 3262, 3263, 3264, 3265, 3266, 3311, 3312, 3313, 3314, 3315, 3316, 3321, 3322, 3323, 3324, 3325, 3326, 3331, 3332, 3333, 3334, 3335, 3336, 3341, 3342, 3343, 3344, 3345, 3346, 3351, 3352, 3353, 3354, 3355, 3356, 3361, 3362, 3363, 3364, 3365, 3366, 3411, 3412, 3413, 3414, 3415, 3416, 3421, 3422, 3423, 3424, 3425, 3426, 3431, 3432, 3433, 3434, 3435, 3436, 3441, 3442, 3443, 3444, 3445, 3446, 3451, 3452, 3453, 3454, 3455, 3456, 3461, 3462, 3463, 3464, 3465, 3466, 3511, 3512, 3513, 3514, 3515, 3516, 3521, 3522, 3523, 3524, 3525, 3526, 3531, 3532, 3533, 3534, 3535, 3536, 3541, 3542, 3543, 3544, 3545, 3546, 3551, 3552, 3553, 3554, 3555, 3556, 3561, 3562, 3563, 3564, 3565, 3566, 3611, 3612, 3613, 3614, 3615, 3616, 3621, 3622, 3623, 3624, 3625, 3626, 3631, 3632, 3633, 3634, 3635, 3636, 3641, 3642, 3643, 3644, 3645, 3646, 3651, 3652, 3653, 3654, 3655, 3656, 3661, 3662, 3663, 3664, 3665, 3666, 4111, 4112, 4113, 4114, 4115, 4116, 4121, 4122, 4123, 4124, 4125, 4126, 4131, 4132, 4133, 4134, 4135, 4136, 4141, 4142, 4143, 4144, 4145, 4146, 4151, 4152, 4153, 4154, 4155, 4156, 4161, 4162, 4163, 4164, 4165, 4166, 4211, 4212, 4213, 4214, 4215, 4216, 4221, 4222, 4223, 4224, 4225, 4226, 4231, 4232, 4233, 4234, 4235, 4236, 4241, 4242, 4243, 4244, 4245, 4246, 4251, 4252, 4253, 4254, 4255, 4256, 4261, 4262, 4263, 4264, 4265, 4266, 4311, 4312, 4313, 4314, 4315, 4316, 4321, 4322, 4323, 4324, 4325, 4326, 4331, 4332, 4333, 4334, 4335, 4336, 4341, 4342, 4343, 4344, 4345, 4346, 4351, 4352, 4353, 4354, 4355, 4356, 4361, 4362, 4363, 4364, 4365, 4366, 4411, 4412, 4413, 4414, 4415, 4416, 4421, 4422, 4423, 4424, 4425, 4426, 4431, 4432, 4433, 4434, 4435, 4436, 4441, 4442, 4443, 4444, 4445, 4446, 4451, 4452, 4453, 4454, 4455, 4456, 4461, 4462, 4463, 4464, 4465, 4466, 4511, 4512, 4513, 4514, 4515, 4516, 4521, 4522, 4523, 4524, 4525, 4526, 4531, 4532, 4533, 4534, 4535, 4536, 4541, 4542, 4543, 4544, 4545, 4546, 4551, 4552, 4553, 4554, 4555, 4556, 4561, 4562, 4563, 4564, 4565, 4566, 4611, 4612, 4613, 4614, 4615, 4616, 4621, 4622, 4623, 4624, 4625, 4626, 4631, 4632, 4633, 4634, 4635, 4636, 4641, 4642, 4643, 4644, 4645, 4646, 4651, 4652, 4653, 4654, 4655, 4656, 4661, 4662, 4663, 4664, 4665, 4666, 5111, 5112, 5113, 5114, 5115, 5116, 5121, 5122, 5123, 5124, 5125, 5126, 5131, 5132, 5133, 5134, 5135, 5136, 5141, 5142, 5143, 5144, 5145, 5146, 5151, 5152, 5153, 5154, 5155, 5156, 5161, 5162, 5163, 5164, 5165, 5166, 5211, 5212, 5213, 5214, 5215, 5216, 5221, 5222, 5223, 5224, 5225, 5226, 5231, 5232, 5233, 5234, 5235, 5236, 5241, 5242, 5243, 5244, 5245, 5246, 5251, 5252, 5253, 5254, 5255, 5256, 5261, 5262, 5263, 5264, 5265, 5266, 5311, 5312, 5313, 5314, 5315, 5316, 5321, 5322, 5323, 5324, 5325, 5326, 5331, 5332, 5333, 5334, 5335, 5336, 5341, 5342, 5343, 5344, 5345, 5346, 5351, 5352, 5353, 5354, 5355, 5356, 5361, 5362, 5363, 5364, 5365, 5366, 5411, 5412, 5413, 5414, 5415, 5416, 5421, 5422, 5423, 5424, 5425, 5426, 5431, 5432, 5433, 5434, 5435, 5436, 5441, 5442, 5443, 5444, 5445, 5446, 5451, 5452, 5453, 5454, 5455, 5456, 5461, 5462, 5463, 5464, 5465, 5466, 5511, 5512, 5513, 5514, 5515, 5516, 5521, 5522, 5523, 5524, 5525, 5526, 5531, 5532, 5533, 5534, 5535, 5536, 5541, 5542, 5543, 5544, 5545, 5546, 5551, 5552, 5553, 5554, 5555, 5556, 5561, 5562, 5563, 5564, 5565, 5566, 5611, 5612, 5613, 5614, 5615, 5616, 5621, 5622, 5623, 5624, 5625, 5626, 5631, 5632, 5633, 5634, 5635, 5636, 5641, 5642, 5643, 5644, 5645, 5646, 5651, 5652, 5653, 5654, 5655, 5656, 5661, 5662, 5663, 5664, 5665, 5666, 6111, 6112, 6113, 6114, 6115, 6116, 6121, 6122, 6123, 6124, 6125, 6126, 6131, 6132, 6133, 6134, 6135, 6136, 6141, 6142, 6143, 6144, 6145, 6146, 6151, 6152, 6153, 6154, 6155, 6156, 6161, 6162, 6163, 6164, 6165, 6166, 6211, 6212, 6213, 6214, 6215, 6216, 6221, 6222, 6223, 6224, 6225, 6226, 6231, 6232, 6233, 6234, 6235, 6236, 6241, 6242, 6243, 6244, 6245, 6246, 6251, 6252, 6253, 6254, 6255, 6256, 6261, 6262, 6263, 6264, 6265, 6266, 6311, 6312, 6313, 6314, 6315, 6316, 6321, 6322, 6323, 6324, 6325, 6326, 6331, 6332, 6333, 6334, 6335, 6336, 6341, 6342, 6343, 6344, 6345, 6346, 6351, 6352, 6353, 6354, 6355, 6356, 6361, 6362, 6363, 6364, 6365, 6366, 6411, 6412, 6413, 6414, 6415, 6416, 6421, 6422, 6423, 6424, 6425, 6426, 6431, 6432, 6433, 6434, 6435, 6436, 6441, 6442, 6443, 6444, 6445, 6446, 6451, 6452, 6453, 6454, 6455, 6456, 6461, 6462, 6463, 6464, 6465, 6466, 6511, 6512, 6513, 6514, 6515, 6516, 6521, 6522, 6523, 6524, 6525, 6526, 6531, 6532, 6533, 6534, 6535, 6536, 6541, 6542, 6543, 6544, 6545, 6546, 6551, 6552, 6553, 6554, 6555, 6556, 6561, 6562, 6563, 6564, 6565, 6566, 6611, 6612, 6613, 6614, 6615, 6616, 6621, 6622, 6623, 6624, 6625, 6626, 6631, 6632, 6633, 6634, 6635, 6636, 6641, 6642, 6643, 6644, 6645, 6646, 6651, 6652, 6653, 6654, 6655, 6656, 6661, 6662, 6663, 6664, 6665, 6666
Whew! That was wild!