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1 vote
3. In a game, if you roll a 6 on a 6-sided number cube, you lose a turn.

(a) What is the probability that you roll a 6? Explain your reasoning.

(b) What is the probability that you either roll a 6 or do not roll a 6? Explain your reasoning.

(c) What is the probability that you don’t roll a 6? Explain your reasoning.

User Remvee
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2 Answers

4 votes
A: 16.67% chance
B: The chance of not rolling a 6 is about 80%
C: 80%
I may have misunderstood B
User DoertyDoerk
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8.6k points
4 votes
On a dice, there are 6 sides, there's a side with 1,2,3,4,5, and 6
so there is a 1/6 chance to roll a 6

There is a 6/6 probability that you will roll either a six, or not a six. Because there is a 5/6 chance you will not roll a six and a 1/6 chance you will roll a six
1/6+5/6=6/6

There is a 5/6 chance that you will not roll a six.
Out of the 6 numbers on the dice, 5 of them are not 6
so there is a 5/6 chance you will not roll a 6
User Guilhebl
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8.8k points