Question

7.
In an election for the President, 261 valid votes are cast, for the 5 contestants. Find the
least number of votes a candidate requires to receive to win the election.​

Answer 1

Step-by-step explanation:

least number of votes required to win=261/5=52.2

Answer 2

The minimum vote that a candidate requires to win the selection is 131.

Minimum Vote Winning :

• To calculate the minimum number of votes to win in an election, we consider the case of an equal share of votes between all candidates.
• 1 vote greater than the equal share will be the case of a minimum vote win. But this is not a definite win, as the votes left can be in the bank of another candidate which is greater.
• So, the votes achieved must always be greater than the votes remaining for winning.
• Thus, 1 greater than 50% of the vote share is the minimum voting win case.

STEP 1 : Calculating the Half vote share

The total number of candidates that vote = 261

Number of contestants competing in the election = 5

Thus, half the number of total votes

             = Total Votes / 2

             $= 262 / 2\\= 130.5$

STEP 2 : Additional win vote

Exact half votes i.e. 103.5 may lead to a tie if the other candidate gets the rest of the votes.

Thus, 130.5 rounded up to 131 is the minimum vote count that guarantees a win.

Hence, 131 is the least number of votes a candidate requires to win the election.

To learn more about Vote Majority, visit

https://brainly.in/question/19918538

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