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You roll a $6$ -sided die. $\newline$ What is $P(\text{odd or greater than } 1)$ ? $\newline$ Choices: $\newline$ (A) $\frac{3}{8}$ $\newline$ (B) $1$ $\newline$ (C) $\frac{4}{3}$ $\newline$ (D) $\frac{5}{4}$

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Math Problems

Grade 7

Probability of mutually exclusive events and overlapping events

Full solution

Q. You roll a

6

-sided die.

\newline

What is

P(\text{odd or greater than } 1)

\newline

Choices:

\newline

(A)

\frac{3}{8}

\newline

(B)

1

\newline

(C)

\frac{4}{3}

\newline

(D)

\frac{5}{4}

Identify Outcomes: Step $1$ : Identify the outcomes of a $6$ -sided die that are either odd or greater than $1$ .
Calculate Probability: Step $2$ : Calculate the probability $P(\text{odd or greater than } 1)$ .

More problems from Probability of mutually exclusive events and overlapping events

Question

You roll a

6

-sided die two times. What is the probability of rolling a number greater than $3$ and then rolling a number less than $4$? Write your answer as a percentage.

\newline

____ `%`

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Posted 2 months ago

Question

There are

9

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

7

education majors.

\newline

6

of the candidates are randomly chosen to give the first

6

speeches, what is the probability that all of them are education majors?

\newline

Write your answer as a decimal rounded to four decimal places.

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Posted 6 months ago

Question

In an experiment, the probability that event

A

occurs is

\frac{2}{7}

, the probability that event

B

occurs is

\frac{7}{9}

, and the probability that events

A

and

B

both occur is

\frac{1}{9}

\newline

Are

A

and

B

independent events?

\newline

Choices:

\newline

(A)

\text{yes}

\newline

(B)

\text{no}

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Posted 6 months ago

Question

At a science museum, visitors can compete to see who has a faster reaction time. Competitors watch a red screen, and the moment they see it turn from red to green, they push a button. The machine records their reaction times and also asks competitors to report their gender.

\newline

The probability that a competitor reacted in over

0.7

seconds is

0.6

, the probability that a competitor was female is

0.4

, and the probability that a competitor reacted in over

0.7

seconds and was female is

0.3

\newline

What is the probability that a randomly chosen competitor reacted in over

0.7

seconds or was female?

\newline

Write your answer as a whole number, decimal, or simplified fraction.

\newline

______

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Posted 6 months ago

Question

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

\newline

If the server's claim is true, and one day he leaves candy with $4$ customers' bills, what is the probability that exactly $3$ of those customers will tip well?

\newline

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

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Posted 5 months ago

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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Posted 6 months ago

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

1,000

in the raffle, each costing `$11`.

\newline

Raffle B is for a `$370` prize. Out of

125

tickets, each costing `$5`, one ticket will win the prize, and the other tickets will win nothing.

\newline

Which raffle is a better deal?

\newline

Choices:

\newline

\text{[A]Raffle A}

\newline

\text{[B]Raffle B}

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Posted 6 months ago

Question

X

is a normally distributed random variable with mean

49

and standard deviation

25

\newline

What is the probability that

X

is between

24

and

74

?

\newline

Use the

0.68-0.95-0.997

rule and write your answer as a decimal. Round to the nearest thousandth if necessary.

\newline

____

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Posted 6 months ago

Question

X

is a normally distributed random variable with mean

65

and standard deviation

8

\newline

What is the probability that

X

is between

62

and

68

?

\newline

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

\newline

____

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Posted 6 months ago

Question

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

\newline

In a population that is normally distributed with mean

43

and standard deviation

3

, the bottom

30\%

of the values are those less than ______.

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Posted 6 months ago

View all (21)

You roll a 666-sided die.\newlineWhat is P(odd or greater than 1)P(\text{odd or greater than } 1)P(odd or greater than 1)?\newlineChoices:\newline(A) 38\frac{3}{8}83​\newline(B) 111\newline(C) 43\frac{4}{3}34​\newline(D) 54\frac{5}{4}45​

You roll a $6$ -sided die. $\newline$ What is $P(\text{odd or greater than } 1)$ ? $\newline$ Choices: $\newline$ (A) $\frac{3}{8}$ $\newline$ (B) $1$ $\newline$ (C) $\frac{4}{3}$ $\newline$ (D) $\frac{5}{4}$