Question

7. When two unbiased dice are rolled together, the probability of getting both same outcomes is :
(1) 0
(2) 1/36
(3) 5/36
(4) 6/36​

Answer 1

$\sf \underline{Solution}: -$

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

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

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

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

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

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

$\sf The \: probability \: of \: getting \: \\ \sf \: both \: same \: outcomes \: = \: \frac{6}{36}$

Answer 2

Answer:

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

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

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

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

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

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

The probability of getting both same es = 6/36