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What is the probability of both coins landing on tails? $\newline$ $\newline$ 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 both coins landing on tails?

\newline

\newline

Write your answer as a fraction or a whole number. With fractions, use a slash (

/

) to separate the numerator and denominator.

\newline

\_\_

Identify probability of tails: Identify the probability of one coin landing on tails. Each coin has two sides, heads and tails, so the probability of getting tails on one coin is $1$ out of $2$ .
Calculate product of probabilities: Since the coins are independent, the probability of both coins landing on tails is the product of the probabilities of each coin landing on tails. Calculate $\frac{1}{2} \times \frac{1}{2}$ .
Perform multiplication: Perform the multiplication: $\frac{1}{2} \times \frac{1}{2} = \frac{1}{4}$ . This is the probability of both coins landing on tails.

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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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