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 13 Start Fraction 1 over 3 End Fraction 16 Start Fraction 1 over 6 End Fraction 12 Start Fraction 1 over 2 End Fraction 136

Answer 1

To find the probability that Leah rolls a 6 on a six-sided die two times in a row, we first calculate the probability of rolling a 6 on a single roll.

The probability of rolling a 6 on a six-sided die is:
\[
P(6) = \frac{1}{6}
\]

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

So, we calculate:
\[
P(6 \text{ twice}) = P(6) \times P(6) = \frac{1}{6} \times \frac{1}{6} = \frac{1}{36}
\]

Thus, the probability that Leah rolls a 6 two times in a row is:
\[
\frac{1}{36}
\]

Looking at your options, the correct response is:
\[
136
\] (which should be interpreted as \(\frac{1}{36}\)).