Consider rolling a fair 6-sided dice.
Which of the following statements are correct?
Group of answer choices
The probability that it lands on a 1 is 1/6.
The probability of an even number on one roll of a dice is 2/6.
The probability of an even number on one roll of a dice is 3/6.
If we roll this dice a large number of times, then for about 5/6 of the time, it will NOT land on a 2.
Suppose the results of the first five rolls were 2, 5, 1, 4, and 3, then the sixth roll must land on a 6, because it is the only outcome that hasn’t occurred yet.
B.
Suppose you roll the dice once and the reward in dollars is the number that shows up if the number is even and you lose the same amount if the number is odd. What is the expected reward? (Write the steps)
Number on Dice | Reward |
1 | -$1 |
2 | $2 |
3 | -$3 |
4 | $4 |
5 | -$5 |
6 | $6 |
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