A die with 12 sides is rolled. What is the probability of rolling a number less than 11? Is this the same as rolling a total less than 11 with two six-sided dice? Explain.
A. 2/6
B. 3/6
C. 4/6
D. 5/6 Please i need help ,my answer is D
Agree. Same.
thank you
To find the probability of rolling a number less than 11 with a 12-sided die, we need to determine the number of favorable outcomes (numbers less than 11) and divide it by the total possible outcomes.
A 12-sided die has numbers from 1 to 12. Out of these, there are 10 numbers that are less than 11 (1, 2, 3, 4, 5, 6, 7, 8, 9, and 10).
So, the probability of rolling a number less than 11 with a 12-sided die is 10/12, which can be simplified to 5/6.
Now, let's consider rolling a total less than 11 with two six-sided dice. To calculate this probability, we need to find the number of favorable outcomes and divide it by the total possible outcomes.
The favorable outcomes for rolling a total less than 11 with two six-sided dice are {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (3, 1), (3, 2), (3, 3), (3, 4), (4, 1), (4, 2), (4, 3), (5, 1), (5, 2), (6, 1)}. That makes a total of 21 favorable outcomes.
The total possible outcomes for rolling two six-sided dice is 6 * 6 = 36.
So, the probability of rolling a total less than 11 with two six-sided dice is 21/36, which can be simplified to 7/12.
Therefore, the answer is not D (5/6), but instead it is 7/12.
To find the probability of rolling a number less than 11 with a 12-sided die, we need to determine the total number of favorable outcomes and the total number of possible outcomes.
Total number of possible outcomes: Since the die has 12 sides, there are 12 possible outcomes when rolling the die.
Total number of favorable outcomes: To find the number of favorable outcomes (numbers less than 11), we simply count the numbers less than 11 on the die. In this case, there are 10 numbers less than 11 (1, 2, 3, 4, 5, 6, 7, 8, 9, 10).
Now, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes.
Probability of rolling a number less than 11 = Favorable outcomes / Total outcomes = 10 / 12
Simplifying the fraction, we get:
Probability of rolling a number less than 11 = 5 / 6
Therefore, the correct answer is option C. 4/6, not D. 5/6.