A die is rolled 12 times. Find the probability of rolling exactly 1 five

Answer 1

P(one 5/12 dice rolls)

= 12(1/6)(5/6)^11

= 12(5^11)/6^12

= 2(5^11)/(6^11)

= .2692

= 26.92% chance of exactly 1 five after 12 rolls of the die