Question

Paige rolls a number cube sixty-four times. the number 4 comes up fourteen times. the number 3 comes up six times. rounded to the nearest whole percent, what is the experimental probability of rolling a 3 or 4?

Answer 1

The experimental probability of rolling a 3 or 4 is calculated by adding the number of times each appears (20 times), dividing by the total rolls (64), and converting to percentage, resulting in approximately 31%.

Step-by-step explanation:

To find the experimental probability of rolling a 3 or 4, we add the number of times each number comes up and divide by the total number of rolls. In this case, Paige rolled a number 4 fourteen times and a number 3 six times out of sixty-four rolls. The sum of 3's and 4's is fourteen plus six, which equals twenty.

We then divide twenty by sixty-four to find the experimental probability. Doing the math, 20/64 = 0.3125. To express this as a percentage, we multiply by 100 and get 31.25%. When rounded to the nearest whole percent, the experimental probability of rolling a 3 or 4 is 31%.

Answer 2

To determine the probability of obtaining 3 or any number in a roll, we divide the number of outcomes with the sample space.
probability of 3 : n = 6/64 = 3/32 = 0.09375
probability of 4 : n = 14/64 = 7/32 = 0.21875
Since, we use the conjuction "or", we therefore add up these probabilities.
n = 5/16 or 0.3125