Two dice are thrown simultaneously. Find the probability ofa) getting

1.	Two dice are thrown simultaneously. Find the probability ofa) getting sum less than 6.b) getting a doublet like (1, 1) (2, 2), (3, 3).
Answer» Answer: a) A = sum LESS than 6 A = (1,1),(1,2),(1,3),(1,4),(2,1),(2,3),(3,1),(3,2),(4,1) N(A) = 9 n(s) = 36 p(A) = n(A) / n(s) = 9/36 = 1/4. B) B = doublet B = (1,1),(2,2),(3,3),(4,4),(5,5),(6,6) n(B) = 6. P(B) = n(B) / n(s) = 6/ 36 = 1/6

Two dice are thrown simultaneously. Find the probability ofa) getting sum less than 6.b) getting a doublet like (1, 1) (2, 2), (3, 3).

Answer»

Answer:

a) A = sum LESS than 6

A = (1,1),(1,2),(1,3),(1,4),(2,1),(2,3),(3,1),(3,2),(4,1)

N(A) = 9

n(s) = 36

p(A) = n(A) / n(s)

= 9/36

= 1/4.

B) B = doublet

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

n(B) = 6.

P(B) = n(B) / n(s)

= 6/ 36

= 1/6