Question: When two dice are thrown simultaneously, what is the probability that the sum of the two numbers that turn up is less than 11?

1. 35/36
2. 11/12
3. 5/6
4. 1/6
5. 1/12

Correct Answer: B
Solution and Explanation:
Approach Solution 1:

You must use the information supplied in the question to solve this GMAT problem. These concerns cover numerous mathematical disciplines. This question concerns probability. Because of how the options are presented, it is difficult to select the optimal option. Candidates must comprehend the correct approach for obtaining the required response. Only one of the five supplied alternatives is correct.
Given that two dice are thrown simultaneously.
We have to find the probability that the sum of two numbers is greater than 11.

The likelihood that the total of the two integers that appear 11 equals 1 - (the probability that the sum equals 11 + the probability that the sum equals 12)

As a result, the likelihood that the sum of the two numbers that appear is 11
= 1 - (2 / (6*6) + 1/(6*6)) = 1 - 3/36 = 1 - 1/12 = 11/12
The correct choice is choice B.

Approach Solution 2:

You must use the information supplied in the question to solve this GMAT problem. These concerns cover numerous mathematical disciplines. This question concerns probability. Because of how the options are presented, it is difficult to select the optimal option. Candidates must comprehend the correct approach for obtaining the required response. Only one of the five supplied alternatives is correct.

What is the likelihood that the sum of the two numbers produced by the simultaneous roll of two dice will be less than 11?

Total number of scenarios when we roll two dices (sample space ) = 6*6 = 36

There are just three instances out of the 36 where the total will be 11 or greater. The corresponding examples are (5, 6), (6, 5), and (6, 6). 36 - 3 = 33 situations will result in a sum that is less than 11.

=> The odds that the total will be less than 11 are 33/36 = 11/12
Hence, B will be the correct response.

Approach Solution 3:

You must use the information supplied in the question to solve this GMAT problem. These concerns cover numerous mathematical disciplines. This question concerns probability. Because of how the options are presented, it is difficult to select the optimal option. Candidates must comprehend the correct approach for obtaining the required response. Only one of the five supplied alternatives is correct.

Any scenario where the total of two numbers is more than 11 with the exception of (5,6), (6,5), and (6,6)

36 total options exist because each number contains six pairs.

The probability of this event will be = (36-3)/36 = 33/36 = 11/12.
B is the correct answer.

“When two dice are thrown simultaneously, what is the probability that" - is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been borrowed from the book “GMAT Official Guide Quantitative Review”.

To understand GMAT Problem Solving questions, applicants must possess fundamental qualitative skills. Quant tests a candidate's aptitude in reasoning and mathematics. The GMAT Quantitative test's problem-solving phase consists of a question and a list of possible responses. By using mathematics to answer the question, the candidate must select the appropriate response. The problem-solving section of the GMAT Quant topic is made up of very complicated math problems that must be solved by using the right math facts.

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