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Popular >

fair die is rolled 5 times. What is the probability that a 3 is obtained on at least one of the rolls? Round your answer to three decimal places.

Solution

f ai r d i e i s ro ll e d 5 t im es . Wha t i s t h e p ro babi l i t y t ha t a 3 i s o b t ain e d o n a t l e a s t o n e o f t h e ro ll s ? R o u n d yo u r an s w er t o t h ree d ec ima l pl a ces .

Solution

0.598

Solution steps

Find the probability of no 3:

\frac{3125}{7776}

Probability of a 3 is obtained on at least 1 of the rolls?Round your answer to 3 decimal places

= 1 -

Probability of no 3

= 1 - \frac{3125}{7776}

1 - \frac{3125}{7776} = \frac{4651}{7776}

Round

\frac{4651}{7776}

to the nearest 3 decimal places:

0.598

= 0.598

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