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You roll a $6$ -sided die. $\newline$ What is $P(5$ or odd $)?$ $\newline$ Choices: $\newline$ (A) $\frac{4}{7}$ $\newline$ (B) $\frac{4}{3}$ $\newline$ (C) $\frac{1}{2}$ $\newline$ (D) $\frac{4}{5}$

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Probability of mutually exclusive events and overlapping events

Full solution

Q. You roll a

6

-sided die.

\newline

What is

P(5

or odd

)?

\newline

Choices:

\newline

(A)

\frac{4}{7}

\newline

(B)

\frac{4}{3}

\newline

(C)

\frac{1}{2}

\newline

(D)

\frac{4}{5}

Identify outcomes: Identify the total outcomes and favorable outcomes. $\newline$ A $6$ -sided die has numbers $1$ through $6$ . Odd numbers on the die are $1$ , $3$ , and $5$ . Since $5$ is also an odd number, it's counted once. $\newline$ Favorable outcomes for rolling a $5$ or an odd number: $1$ , $3$ , $5$ . $\newline$ Total outcomes: $6$ .
Calculate probability: Calculate the probability. $\newline$ Number of favorable outcomes: $3$ ( $1$ , $3$ , $5$ ). $\newline$ Probability = Number of favorable outcomes / Total outcomes = $\frac{3}{6}$ = $\frac{1}{2}$ .

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, and the probability that events

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\newline

A

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independent events?

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\newline

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0.6

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

\newline

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Question

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Question

X

is a normally distributed random variable with mean

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and standard deviation

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\newline

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\newline

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\newline

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\newline

What is the probability that

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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

In a population that is normally distributed with mean

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30\%

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