Five horses are in a race. Audrey picks two of the horses at random GMAT Problem-Solving

Question: Five horses are in a race. Audrey picks two of the horses at random, and bets on them. What is the probability that Audrey picked the winner?

A. 1/10
B. 1/5
C. 2/5
D. ½
E. 3/5

Answer: C

Solution and Explanation:

Approach Solution 1:
Use the facts in the question to help you answer the current GMAT question. Several areas of mathematics can use these issues. This query relates to probability. The way the options are presented makes it difficult to decide which is the best. Applicants need to be able to understand the proper strategy for getting the desired result. Only one of the five potential responses is accurate.
5C2 = 10 is the number of ways that 2 horses can be selected from a pool of 5.
The number of possibilities to decide the winner from the two selected horses are = 2*2C1 = 4
So, the likelihood that Audrey selected the victor is 4/10, or 2/5.
Correct option: C

Approach Solution 2:
Use the facts in the question to help you answer the current GMAT question. Several areas of mathematics can use these issues. This query relates to probability. The way the options are presented makes it difficult to decide which is the best. Applicants need to be able to understand the proper strategy for getting the desired result. Only one of the five potential responses is accurate.
The five horses should be A, B, C, D, and E. From a pool of 5, there are 5C2 = 10 methods to select 2 horses. As follows:
A, B, C, D, E, and A. A., A. A., A. A., A. A., and A. A.
Any winning horse will show up in four of these ten ways (for instance, if horse C wins, it will show up in AC, BC, CD, and CE). Hence, there is a 4/10 = 2/5 chance that Audrey chose the victor.
Correct option: C

Approach Solution 3:
Use the facts in the question to help you answer the current GMAT question. Several areas of mathematics can use these issues. This query relates to probability. The way the options are presented makes it difficult to decide which is the best. Applicants need to be able to understand the proper strategy for getting the desired result. Only one of the five potential responses is accurate.
The five horses' names should be (A, B, C, D, and E). There are 5C2 = 10 ways to pick 2 horses out of a group of 5. In this way:
As well as the letters A, B, C, D, and E, and the capital letters A, A, A, A, and A.
The four most common ways a winning horse will manifest itself are the following: (for instance, if horse C wins, it will show up in AC, BC, CD, and CE). As a result, the odds are 4/10, or 2/5, that Audrey picked the winner.
Correct option: C

“Five horses are in a race. Audrey picks two of the horses at random" - 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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