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A number cube labelled 1 to 6 is rolled 276 times. Predict how many times a 5 will show.

User Tanky Woo
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1 Answer

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All the outcomes of the cube are equally probable, therefore, it is expected to have all the outcomes after 6 rolls. To find the amount of times we're supposed to get one of the outcomes, we multiply the amount of rolls by the probability of this outcome.

The theoretical probability is defined as the ratio of the number of favourable outcomes to the number of possible outcomes. We have one number five out of six possible numbers, therefore, the probability of getting a 5 is:


P(5)=(1)/(6)

Therefore, in 276 rolls we're going to get the following amount of 5's:


276* P(5)=(276)/(6)=46

5 will show 46 times.

User Nulll
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