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Popular Word Problems >

If a dice is rolled twice, what is the probability it will land on 1 and then 6?

Solution

I f a d i ce i s ro ll e d tw i ce, w ha t i s t h e p ro babi l i t y i t w i ll l an d o n 1 an d t h e n 6 ?

Solution

\frac{1}{36}

+1

Decimal

0.02777 \dots

Solution steps

Find the probability of it will land on 1:

\frac{1}{6}

Find the probability of then 6:

\frac{1}{6}

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}{6} \cdot \frac{1}{6}

\frac{1}{6} \cdot \frac{1}{6} = \frac{1}{36}

= \frac{1}{36}

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