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you roll a 6-sided die.What is P(prime)?Simplify your answer and write it as a fraction or whole number.

you roll a 6-sided die.What is P(prime)?Simplify your answer and write it as a fraction-example-1

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To solve this problem, we will use the following formula:


P(event)=\frac{favorable\text{ outcomes}}{total\text{ outcomes}}.

Recall that in a 6-sided die, there are 3 sides that have a prime number:


2,3,\text{ and}5.

Therefore, there are 3 favorable outcomes, and there are 6 outcomes in total.

Substituting the above values in the formula, we get:


P(prime)=(3)/(6)=(1)/(2).

Answer:


P(prime)=(1)/(2).

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