can anyone help me with these two probability questions?
a. What is the probability of the event of rolling a sum of 1 on any roll of the dice?
b.What is the probability of the event of rolling a sum less than 13 on any roll of the dice?
Please help ASAP!!! :(
a. If it is one die, 1/6. If there are two dice, no chance to roll a sum of 1.
b. Since the maximum value of two dice = 12, no probability of rolling 13...unless your two dice have more than 6 sides.
Of course, I can help you with these probability questions. Let's break them down step by step:
a. What is the probability of rolling a sum of 1 on any roll of the dice?
To find the probability of rolling a sum of 1, let's first list all the possible outcomes when rolling two dice. When rolling two standard six-sided dice, there are a total of 36 possible outcomes (6 outcomes for the first dice multiplied by 6 outcomes for the second dice).
The only combination in which the sum of the dice is 1 is when one die shows 1 and the other shows 2. There is only one way this can happen.
Therefore, the probability of rolling a sum of 1 is 1 out of 36, or 1/36.
b. What is the probability of rolling a sum less than 13 on any roll of the dice?
To find the probability of rolling a sum less than 13, we need to find the number of outcomes whose sum is less than 13, and divide it by the total number of possible outcomes.
Given that each die has 6 faces and there are two dice, there are 6 x 6 = 36 possible outcomes.
Since the sum cannot exceed 12, we need to find the number of outcomes whose sum is 12 or less.
Let's list the outcomes whose sum is greater than 12: (6, 6)
Therefore, the number of outcomes whose sum is less than 13 is 36 - 1 = 35.
So, the probability of rolling a sum less than 13 is 35 out of 36, or 35/36.
I hope this helps you! Let me know if you have any other questions.
Of course, I'd be happy to help you with these probability questions! Let's break down each question and determine the probabilities.
a. What is the probability of the event of rolling a sum of 1 on any roll of the dice?
To find this probability, we need to determine the number of ways we can get a total sum of 1 on two six-sided dice. The possible combinations are (1, 1).
In total, there are 6 x 6 = 36 possible outcomes when rolling two dice. As we have only one way to get a sum of 1, the probability is 1/36.
b. What is the probability of the event of rolling a sum less than 13 on any roll of the dice?
To find this probability, we need to determine the number of favorable outcomes (the combinations that give a sum less than 13) and divide it by the total number of possible outcomes.
In this case, rolling two dice can result in sums ranging from 2 to 12. So, we need to find the number of favorable outcomes for sums less than 13. Since all possible outcomes fall under this condition, there are 36 favorable outcomes.
The total number of possible outcomes remains the same, which is 36 (since each die has 6 sides). Therefore, the probability is 36/36 = 1.
To summarize:
a. The probability of rolling a sum of 1 is 1/36.
b. The probability of rolling a sum less than 13 is 1.
Remember, probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.