Question

Leah is playing a board game and needs to roll a 6 on a number cube two times in a row in order to win. What is the probability this will happen if she’s using a normal six-sided number cube?(1 point)
Responses

1/6
Start Fraction 1 over 6 End Fraction

1/2
Start Fraction 1 over 2 End Fraction

1/36
Start Fraction 1 over 36 End Fraction

1/3
Start Fraction 1 over 3 End Fraction

Answer 1

To determine the probability of rolling a 6 on a six-sided number cube (also known as a die) two times in a row, we need to consider the probability of each individual roll first.

The probability of rolling a 6 on a six-sided die is:

\[
P(6) = \frac{1}{6}
\]

Since the rolls are independent events, the probability of rolling a 6 twice in a row is the product of the probabilities of each individual roll:

\[
P(6 \text{ twice}) = P(6) \times P(6) = \frac{1}{6} \times \frac{1}{6} = \frac{1}{36}
\]

Thus, the probability that Leah rolls a 6 two times in a row is:

\[
\frac{1}{36}
\]

The correct response is:

**1/36**