Question

jana has a number cube numbered 1 to 6. she plans to roll the cube 78 times. predict the number of times jana will roll a 2.

Explanation:

Step1: Determine the probability of rolling a 2

A number cube has 6 faces, numbered 1 to 6. The probability of rolling a 2 is the number of favorable outcomes (1, since only the face with 2 is favorable) divided by the total number of possible outcomes (6). So the probability \( P(2) = \frac{1}{6} \).

Step2: Predict the number of times a 2 will be rolled

To find the expected number of times a 2 will be rolled in 78 trials, we multiply the number of trials by the probability of rolling a 2. So we calculate \( 78\times\frac{1}{6} \).
\( 78\div6 = 13 \), so \( 78\times\frac{1}{6}=13 \).

Answer:

13