Question

Write the sample space when 2 dice and 3 coins are thrown simultaneously

Answer 1

Probability for rolling two dice with the six sided dots such as 1, 2, 3, 4, 5 and 6 dots in each die.

When two dice are thrown simultaneously, thus number of event can be 62 = 36 because each die has 1 to 6 number on its faces.
[(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)]=36
sample space when 3coins are tossed
HHH, HHT, HTH, THH, HTT, THT, TTH and TTT.