Bivariate Data Analysis & Probability Unit Test

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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

16
Start Fraction 1 over 6 End Fraction

12
Start Fraction 1 over 2 End Fraction

13
Start Fraction 1 over 3 End Fraction

136

1 answer

To find the probability of Leah rolling a 6 on a six-sided cube two times in a row, we can calculate the probability of each event and then multiply them together.

  1. The probability of rolling a 6 on a single six-sided number cube is \( \frac{1}{6} \).

  2. Since the rolls are independent, the probability of rolling a 6 twice in a row is calculated as follows: \[ P(\text{rolling a 6 twice}) = P(\text{rolling a 6 first time}) \times P(\text{rolling a 6 second time}) = \frac{1}{6} \times \frac{1}{6} = \frac{1}{36} \]

Therefore, the correct probability that Leah rolls a 6 two times in a row is \( \frac{1}{36} \).

It seems that this exact answer is not present in your provided response options, so please double-check the question or the choices. The closest correct answer can also sometimes be an option, but based on standard probability calculations, \( \frac{1}{36} \) would be right for the scenario provided.