Respuesta :
I'm not sure what the options are as this appears to be a multiple choice question, but this probability is as follows:
[tex]P(X=3)={10\choose3}(\frac{1}{6})^3(\frac{5}{6})^7[/tex]
[tex]P(X=3)={10\choose3}(\frac{1}{6})^3(\frac{5}{6})^7[/tex]
The probability of rolling a 5 exactly three times in ten rolls of a number cube with six sides is 0.034.
What is the probability?
Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.
The probability of rolling a 5 exactly three times in ten rolls of a number cube with six sides is determined in the following steps given below.
[tex]\rm Probability=\dfrac{10}{3}\times \left (\dfrac{1}{3} \right ) ^3\times \left (\dfrac{5}{6} \right ) ^7\\\\Probability= \dfrac{10}{3}\times \dfrac{1}{27} \times \dfrac{78125}{279936}\\\\Probability=0.034[/tex]
Hence, the probability of rolling a 5 exactly three times in ten rolls of a number cube with six sides is 0.034.
Learn more about probability here;
https://brainly.com/question/11234923
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