Respuesta :
Answer:
He was incorrect because...
Step-by-step explanation:
Although there is a CHANCE that a 1 will be rolled. There is also a chance to rolls all 6's, or all 5's for example. The chance that a 1 will be rolled is 1/6, or ~16.67%.
Joe is not correct.
We have a statement said by joe - if you roll a number cube 6 times, one of those rolls will be a 1.
We have to investigate whether joe is right or not?
What are all possible outcomes if you roll a number cube?
When you roll a number cube the possible outcomes are - 1, 2, 3, 4, 5, 6.
If we consider statement said by joe - he expressed the certainty of the occurrence of 1. According to him, if you roll a number cube 6 times, then the probability of the Event (say A) - one of those rolls will be 1 is :
P(A) = 1 (the event will 100% occur)
However, when a number cube is rolled 6 times, the total number of possible outcomes = 6 x 6 = 36. The total number of favorable outcomes are = 6.
Therefore, the probability that the event - one of the rolls will be 1 is
[tex]P(A) =\frac{6}{36}= 0.16[/tex]
This means that the probability of occurrence of event is 16%.
Hence, Joe is not correct.
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