if two dice are rolled 360 times, approximately how many times should you expect a sum of 7
there are 36 ways for 2 dice to fall, of those 6 will add up to 7
16 25 34 43 52 62
so the prob of rolling a 7 is 6/36 = 1/6
so when rolling 360 times I would expect this to happen 1/6 of the time or 60 times
good luck cuz
To find the expected number of times a sum of 7 will occur when two dice are rolled 360 times, we can calculate the probability of rolling a sum of 7 and then multiply it by the total number of rolls.
The sum of 7 can be obtained in the following six ways:
- Rolling a 1 on the first die and a 6 on the second die.
- Rolling a 2 on the first die and a 5 on the second die.
- Rolling a 3 on the first die and a 4 on the second die.
- Rolling a 4 on the first die and a 3 on the second die.
- Rolling a 5 on the first die and a 2 on the second die.
- Rolling a 6 on the first die and a 1 on the second die.
Each scenario has a probability of 1/6 * 1/6 = 1/36 of occurring, as there are 6 possible outcomes for each die, and 1 favorable outcome for a sum of 7.
So, the probability of rolling a sum of 7 is 6/36 = 1/6.
To find the expected number of times a sum of 7 will occur, we multiply the probability by the total number of rolls:
Expected number = Probability * Total number of rolls
Expected number = (1/6) * 360
Expected number ≈ 60
Therefore, you should expect a sum of 7 to occur approximately 60 times when two dice are rolled 360 times.
To answer this question, we need to understand the probability of obtaining a sum of 7 when rolling two dice.
When rolling a single six-sided die, each face has an equal probability of 1/6. Therefore, the probability of rolling a specific number (say 1) on a single die is 1/6.
Since we have two separate dice, the total number of possible outcomes will be equal to the product of the number of outcomes on each die, which is 6 × 6 = 36.
To determine the number of combinations that result in a sum of 7, we need to count the number of times the numbers on two dice add up to 7. These combinations would be: (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1). So, there are six possible combinations that result in a sum of 7.
Thus, the probability of rolling a sum of 7 with two dice is 6/36, which simplifies to 1/6.
To estimate how many times you should expect a sum of 7 when rolling two dice 360 times, you can multiply the number of trials (360) by the probability of obtaining a sum of 7 (1/6):
(360) × (1/6) = 60
Therefore, you should expect to obtain a sum of 7 approximately 60 times when rolling two dice 360 times.