In 7 rolls, the required result is one hit and 6 misses. There is a 1 in 6 chance of rolling a five and a 5 in 6 chance of rolling a different number. So the combined probability is 1/6*(5/6)^6=5^6/6^7=15625/279936=0.05582, 5.58% approx., but there are 7 ways of getting this combination: HMMMMMM, MHMMMMM, MMHMMMM, MMMHMMM, MMMMHMM, MMMMMHM, MMMMMMH, where M is a miss and H a hit. So the probability must be multiplied by 7: 0.3907 or 39.07%.