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Popular Word Problems >

You flip a coin twice. What is the probability of getting tails and then getting tails?

Solution

Y o u f l i p a co in tw i ce . Wha t i s t h e p ro babi l i t y o f g e tt in g t ai l s an d t h e n g e tt in g t ai l s ?

Solution

\frac{1}{4}

+1

Decimal

0.25

Solution steps

Find the probability of getting tails:

\frac{1}{2}

Find the probability of then getting tails:

\frac{1}{2}

Since the events are independent, Use the formula

P (X_{1} \land X_{2} \land \dots \land X_{k}) = P (X_{1}) \cdot P (X_{2}) \cdot \dots \cdot P (X_{k})

= \frac{1}{2} \cdot \frac{1}{2}

\frac{1}{2} \cdot \frac{1}{2} = \frac{1}{4}

= \frac{1}{4}

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