A student demonstrates probability by using a 6-sided number cube with numbers 1, 2, 3, 4, 5, and 6. The student rolls the number cube 246 times. Predict how many times a 3 or 5 will be rolled.(1 point) Responses 82 times 82 times 123 times 123 times 41 times 41 times 164 times

Answer 1

To predict how many times a 3 or 5 will be rolled when a 6-sided number cube is rolled 246 times, we first need to determine the probability of rolling a 3 or a 5.

There are two desired outcomes (rolling a 3 or rolling a 5) out of six possible outcomes on the number cube. Therefore, the probability of rolling a 3 or a 5 is:

\[ P(3 \text{ or } 5) = \frac{2}{6} = \frac{1}{3} \]

Next, we can use this probability to predict the number of times a 3 or 5 will be rolled in 246 rolls:

\[ \text{Expected Rolls} = 246 \times \frac{1}{3} \approx 82 \]

Thus, we would expect that a 3 or 5 will be rolled approximately 82 times. Therefore, the correct response is:

82 times.