Question

A fair die is cast four times. Calculate the probability of obtaining exactly two 6's. Round to the nearest tenth of a percent

Answer 1

Answer:

16.7%

Step-by-step explanation:

So a fair dice has 6 sides on it total with sides 1,2,3,4,5,6

every time you throw your dice you have the probability of getting a 6 only 1/6 of a time. Getting two 6's can happen 6 different ways in your four rolls so you simply plug  4C2 into your calculator and you get 6!!

The probability of getting two 6's is 6×1/36 = 1/6

as a decimal that equals 0.16666 repeating so multiply tat by 100 and you get 16.7%

Answer 2

Answer:

11.6%

Step-by-step explanation:

$\frac{4!}{2!\left(4-2\right)!}\left(\frac{1}{6}\right)^2\left(\frac{5}{6}\right)^2 = 0.116 = 11.6$