Question

A die with a 10% chance of rolling a 6 is rolled 10 times in a row. What is the probability that a 6 is rolled exactly 2 times?
15.7%
19.4%
21.3%
24.8%
34.6%

Answer 1

10% chance of rolling a six
what chance of not?

Answer 2

yup

Answer 3

two sixes \(.1^2\)
8 not sixes \(.9^8\) and
\[\binom{10}{2}\] different ways of getting it

Answer 4

so
\[\binom{10}{2}\times (.1)^2\times (.9)^8\]

Answer 5

i get that too