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You roll a $6$ -sided die. $\newline$ What is $P(6)$ ? $\newline$ $\newline$ Simplify your answer and write it as a fraction or whole number. $\newline$ _____

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Theoretical probability

Full solution

Q. You roll a

6

-sided die.

\newline

What is

P(6)

?

\newline

\newline

Simplify your answer and write it as a fraction or whole number.

\newline

_____

Identify total possible outcomes: Identify the total number of possible outcomes when rolling a $6$ -sided die. $\newline$ A $6$ -sided die has $6$ faces, each with a different number from $1$ to $6$ . Therefore, there are $6$ possible outcomes when the die is rolled.
Determine favorable outcomes: Determine the number of favorable outcomes for rolling a $6$ . Since there is only one face with the number $6$ , there is only one favorable outcome for this event.
Calculate probability: Calculate the probability of rolling a $6$ . The probability of an event is given by the ratio of the number of favorable outcomes to the total number of possible outcomes. In this case, the probability $P(6)$ is: $P(6) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}$ $P(6) = \frac{1}{6}$

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college students running for student government class president. The candidates include

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of the candidates are randomly chosen to give the first

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\newline

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0.6

, the probability that a competitor was female is

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Question

A restaurant server claims that \(28\)% of the time he leaves candy with the bill, the customer tips well.

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Question

There is a spinner with `50` equally likely sections, numbered from `1` to `50`. You have the opportunity to spin it. If the number is odd, you win $`11`. If the number is even, you win nothing. If you play the game, what is the expected payoff?\(\$\)_____

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Question

There are two different raffles you can enter.

\newline

In raffle A, one ticket will win a `$720` prize, and the other tickets will win nothing. There are

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\text{[B]Raffle B}

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Question

X

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and standard deviation

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\newline

What is the probability that

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\newline

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\newline

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\newline

Write your answer as a decimal rounded to the nearest thousandth.

\newline

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Complete the statement. Round your answer to the nearest thousandth.

\newline

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