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You pick a card at random. Without putting the first card back, you pick a second card at random. $\newline$ $1234$ $\newline$ What is the probability of picking a $2$ and then picking a $4$ ? $\newline$ Write your answer as a fraction or whole number. $\newline$ $\_\_\_\_$

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Probability of independent and dependent events

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Q. You pick a card at random. Without putting the first card back, you pick a second card at random.

\newline

1234

\newline

What is the probability of picking a

2

and then picking a

4

?

\newline

Write your answer as a fraction or whole number.

\newline

\_\_\_\_

Calculate Total Cards: Step $1$ : Calculate the total number of cards in a standard deck. $\newline$ There are $52$ cards in a deck.
Determine Probability of $2$ : Step $2$ : Determine the probability of picking a $2$ from the deck. $\newline$ There are $4$ twos in a deck of $52$ cards. $\newline$ Probability of first picking a $2 = \frac{4}{52} = \frac{1}{13}$ .
Calculate Probability of $4$ : Step $3$ : Calculate the probability of picking a $4$ after a $2$ has been picked. $\newline$ After picking a $2$ , there are $51$ cards left. There are still $4$ fours in the deck. $\newline$ Probability of picking a $4$ after a $2$ = $\frac{4}{51}$ .
Multiply Probabilities: Step $4$ : Multiply the probabilities from Step $2$ and Step $3$ to find the overall probability. $\newline$ Overall probability = $(\frac{1}{13}) \times (\frac{4}{51}) = \frac{4}{663}$ .

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

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, and the probability that events

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\newline

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\newline

\newline

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\newline

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\newline

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Question

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\newline

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Question

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\newline

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\newline

\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

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

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30\%

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