Question

A pair of dice is thrown independently four times.
The probability of getting a score of exactly 7, twice is

Answer 1

(6, 1), (5, 2), (4, 3), (3, 4), (2, 5), (1, 6)
so dice is thrown 4 times n=4
p=6/36=1/6 and q=5/6
So Probability is
$=C_{2}^{4}p^2q^2=6 (\frac{1}{6})^2 (\frac{5}{6})^2= \frac{25}{216}$

Answer 2

(6, 1), (5, 2), (4, 3), (3, 4), (2, 5), (1, 6)

25/216

it ll be ans