A standard number cube, numbered 1 through 6 on each side, is rolled 3 times. What is the probability of rolling a 2 on all three rolls? Express your answer as a fraction.


I would appreciate if you could explain :)

Respuesta :

Answer:

The answer is 1/216

Step-by-step explanation:

The probability of getting a 2 on a six-sided number cube is 1/6 because the number "2" appears on just one out of the six faces.

Since, the probability of getting a 2 in the first throw is independent of the probability of getting a 2 in the subsequent throws, we multiply these probabilities:

P (2, 2, 2) = 1/6 x 1/6 x 1/6

P = 1/216

The probability of rolling a 2 on all three rolls is [tex]\dfrac{1}{216}[/tex].

Important information:

  • A cube is rolled three times.

Probability:

A standard number cube numbered 1 through 6 on each side. So, the probability of getting 2 on a cube is [tex]\dfrac{1}{6}[/tex].

Now, the probability of rolling a 2 on all three rolls is:

[tex]\dfrac{1}{6}\times \dfrac{1}{6}\times \dfrac{1}{6}=\dfrac{1}{216}[/tex]

Therefore, the probability of rolling a 2 on all three rolls is [tex]\dfrac{1}{216}[/tex].

Find out more about 'Probability' here:

https://brainly.com/question/743546