1 Answer

Shitesh · Answer 1 · 2023-07-11T01:21:38+0000

When a dice is rolled the probability of getting one 6 is,

$P(\text{Getting one 6) = }(1)/(6)$

The probability of not getting 6 when a dice is rolled is ,

$P(\text{Not getting 6) = }(5)/(6)$

The probability of getting 6 is independent on how many times the dice is rolled.

The probability of not getting 6 is given as,

$P(\text{ getting atleast one 6) = 1 - P(Not getting 6)}$

Therefore the probability of getting atleast one 6 when a dice is rolled 4 times is calculated as,

$\begin{gathered} P(\text{Getting 6) = 1 - (}(5)/(6))^4 \\ P(\text{Getting 6) = 1 - }(625)/(1296) \\ P(\text{Getting 6) = }0.5177 \\ \end{gathered}$

Thus the probability of getting atleast one 6 when a dice is rolled 4 times is 0.5177 .

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