Check my answers, thanks!
Roll 2 dice. What is the probaility of rolling and getting:
A) a sum less than or equal to 6
= 15/36=.42
B) sum of greater than or equal to 10
= 6/36=.60
C) difference of less than or equal to 1
= that can't be possible right?
A) You are correct.
B) The possibilities of getting 10 or greater are 5 & 5, 6 & 4, 4 & 6, 6 & 5, 5 & 6 or 6 & 6. As you indicated, that is 6/36 or 1/6. That certainly cannot be .60.
C) 1 & 1 or 1 & 2 will give you a difference of "less than or equal to 1." Find the other combinations that will also fit that category and calculate their probability.
I hope this helps. Thanks for asking.
A) Yes, you are correct. To find the probability of rolling a sum less than or equal to 6, we need to count the favorable outcomes and divide by the total number of possible outcomes. In this case, the favorable outcomes are when the sum is 2, 3, 4, 5, or 6. There are 5 favorable outcomes out of a total of 36 possible outcomes (since each die has 6 sides, so the total number of outcomes when rolling 2 dice is 6 * 6 = 36). Therefore, the probability is 5/36, which is approximately 0.42 or 42%.
B) However, you made a mistake in computing the probability of getting a sum greater than or equal to 10. To find the probability in this case, we need to count the favorable outcomes where the sum is 10, 11, or 12. There are 3 favorable outcomes out of a total of 36 (6 * 6) possible outcomes. Therefore, the correct probability is 3/36, which simplifies to 1/12 or approximately 0.08 or 8%. It is not equal to 0.60 or 60%.
C) For the difference of less than or equal to 1, you are correct that it is possible. To find the favorable outcomes, we need to consider all the combinations where the difference between the numbers on the dice is 1 or less. These combinations include (1,1), (1,2), (2,1), (2,2), (3,2), (2,3), (3,3), (4,3), (3,4), (4,4), (5,4), (4,5), (5,5), (6,5), (5,6), (6,6). There are 16 favorable outcomes out of 36 possible outcomes (6 * 6), so the probability is 16/36, which simplifies to 4/9 or approximately 0.44 or 44%.