Answer: The possible values of x for throwing a coin and a die are (2, 3, 4, 5, 6, 7, 8)
Explanation:
Since the fair coin has the number 1 on one face and the number 2 on the other and the die has six faces that are numbered 1, 2, 3, 4, 5, 6.
The Sample Space is given by
S = {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6)}
n(S) = 12
Given that coin is thrown with a fair die and x represents the sum of the scores.
Possible values of x would be the sum of the given sample space, i.e,
{(1+1), (1+2), (1+3), (1+4), (1+5), (1+6), (2+1), (2+2), (2+3), (2+4), (2+5), (2+6)}
{2, 3 4, 5, 6, 7, 8}