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Katen [24]
3 years ago
12

Emma conducted an experiment in which she rolled a six-sided, fair number cube 300 times. How many times would you predict she r

olled a 6?
Mathematics
2 answers:
anygoal [31]3 years ago
7 0
50 because there are 6 sides and 300 roles, if its equal of course. ;)!
Zina [86]3 years ago
4 0

A number cube has six sides. The probability of landing on any of the numbers is equal. The theoretical probability of rolling a 6 is 1/6. I expect a 6 to be rolled (1/6)(300), or 50 of 300 times

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lisov135 [29]
By the inclusion/exclusion principle,

\mathbb P(D)=\mathbb P(A\cup B\cup C)
\mathbb P(D)=\mathbb P(A)+\mathbb P(B)+\mathbb P(C)-\bigg(\mathbb P(A\cap B)+\mathbb P(A\cap C)+\mathbb P(B\cap C)\bigg)+\mathbb P(A\cap B\cap C)
\mathbb P(D)=\dfrac14+\dfrac16+\dfrac14-\dfrac39+\dfrac1{13}
\mathbb P(D)=\dfrac{16}{39}\neq1

So the union of A, B, and C does not constitute the entire sample space.
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3 years ago
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