SOLUTION: A fair die is rolled and a fair coin is tossed. The random variable X is defined as the number obtained on the die minus the number of heads (0 or 1) resulting on the coin. Calcula

Question 1026963: A fair die is rolled and a fair coin is tossed. The random variable X is defined as the number obtained on the die minus the number of heads (0 or 1) resulting on the coin. Calculate as a fraction in lowest terms Pr(X
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Look at the possible outcomes,
1H :1-1=0
2H :2-1=1
3H :3-1=2
4H :4-1=3
5H :5-1=4
6H:6-1=5
1T :1-0=1
2T :2-0=2
3T :3-0=3
4T :4-0=4
5T :5-0=5
6T:6-0=6
So then the occurrence of each value is,
0:1
1:2
2:2
3:2
4:2
5:2
6:1
and in fractional terms,
0:1/12
1:1/6
2:1/6
3:1/6
4:1/6
5:1/6
6:1/12

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