Bella rolls 2 number cubes 60 times. How many times can she expect the sum of the numbers to be greater than 10?

THANK YOU!

the answer if 5

of the 36 possible outcomes, only 3 sum to 11 or 12.

So, P(s>10) = 3/36 = 1/12

What is 1/12 of 60?

To find out how many times Bella can expect the sum of the numbers to be greater than 10 when she rolls 2 number cubes 60 times, we can use probability.

The sum of two number cubes can range from 2 to 12, as there are six possible outcomes for each cube (1, 2, 3, 4, 5, or 6).

To calculate the probability of getting a sum greater than 10, we need to determine the number of possible outcomes where the sum is greater than 10 and divide it by the total number of possible outcomes.

Possible outcomes with sum greater than 10: (5, 6), (6, 5), (6, 6) (3 combinations)
Total number of possible outcomes: 6 x 6 = 36 (each cube has 6 possible outcomes)

So the probability of getting a sum greater than 10 in one roll is: 3/36 = 1/12.

Now, to calculate the expected number of times this would happen in 60 rolls, we multiply the probability by the number of rolls:

Expected number of times = Probability x Number of rolls
Expected number of times = (1/12) x 60
Expected number of times = 5

Therefore, Bella can expect the sum of the numbers to be greater than 10 about 5 times when she rolls 2 number cubes 60 times.

To find the expected number of times that Bella can expect the sum of the numbers to be greater than 10, we need to determine the probability of getting a sum greater than 10 for each roll.

First, let's consider all possible outcomes when rolling two number cubes. Each cube has six sides, numbered from 1 to 6. So, the total number of outcomes when rolling two cubes is 6 x 6 = 36.

Next, we need to determine how many outcomes have a sum greater than 10. From rolling two cubes, we can list all possible outcomes and find the ones that have a sum greater than 10. Here are the outcomes with a sum greater than 10:

1. (5, 6)
2. (6, 5)
3. (6, 6)

So, there are 3 outcomes out of 36 that have a sum greater than 10.

To find the expected number of times Bella can expect the sum to be greater than 10, we multiply the probability of getting a sum greater than 10 by the total number of times she rolls the cubes.

Probability = Number of favorable outcomes / Total number of outcomes
Probability = 3/36

Expected number = Probability * Number of rolls
Expected number = (3/36) * 60

Therefore, Bella can expect the sum of the numbers to be greater than 10 approximately (3/36) * 60 = 5 times.

Note: Remember that this is an expectation based on probability, so the actual number could be slightly more or less than 5, as outcomes can vary.