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What is the probability of flipping heads and rolling a $2$ ? $\newline$ Write your answer as a fractions" target="_blank" class="backlink">fraction or a whole number. With fractions, use a slash ( / ) to separate the numerator and denominator. $\newline$ $\_\_$

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Probability of compound events

Full solution

Q. What is the probability of flipping heads and rolling a

2

?

\newline

Write your answer as a fraction or a whole number. With fractions, use a slash ( / ) to separate the numerator and denominator.

\newline

\_\_

Determine Probability of Flipping Heads: Step $1$ : Determine the probability of flipping heads. $\newline$ - A coin has two sides, heads and tails, so the probability of flipping heads is $1$ out of $2$ . $\newline$ - Calculation: Probability of heads = $\frac{1}{2}$
Determine Probability of Rolling a Two: Step $2$ : Determine the probability of rolling a two on a six-sided die. $\newline$ - A standard die has six faces numbered from $1$ to $6$ , so the probability of rolling a two is $1$ out of $6$ . $\newline$ - Calculation: Probability of rolling a two $= \frac{1}{6}$
Calculate Combined Probability: Step $3$ : Calculate the combined probability of both independent events happening (flipping heads and rolling a two). $\newline$ - To find the probability of both events happening, multiply the probabilities of each event. $\newline$ - Calculation: Combined probability = $(\frac{1}{2}) \times (\frac{1}{6}) = \frac{1}{12}$

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

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In an experiment, the probability that event

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, and the probability that events

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\newline

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\newline

\newline

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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

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, 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.

\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?

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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.

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\newline

Which raffle is a better deal?

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\text{[B]Raffle B}

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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

What is the probability that

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?

\newline

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\newline

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X

is a normally distributed random variable with mean

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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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Question

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\%

of the values are those less than ______.

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Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant