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.

Answer 1

To predict how many times a 3 or 5 will be rolled, we first calculate the probability of rolling a 3 or 5 on a single roll.

There are 6 equally likely outcomes when rolling the number cube, and 2 of those outcomes are a 3 or 5. Therefore, the probability of rolling a 3 or 5 on a single roll is 2/6 or 1/3.

To predict how many times a 3 or 5 will be rolled in 246 rolls, we multiply the probability of rolling a 3 or 5 on a single roll (1/3) by the total number of rolls (246):

(1/3) x 246 = 82

Therefore, we can predict that a 3 or 5 will be rolled approximately 82 times in 246 rolls.