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In a school, class 1 had 12 football players, class2 had 15 football players, class 3 had 8 football players and class 4 had 5 football players. If one single football player is to be selected for interschool football match then what is the probability that the player is either from class 2 or class 3?

Question

In a school, class 1 had 12 football players, class2 had 15 football players, class 3 had 8 football players and class 4 had 5 football players. If one single football player is to be selected for interschool football match then what is the probability that the player is either from class 2 or class 3?

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Solution

To solve this problem, we first need to find the total number of football players in all classes.

Step 1: Add the number of players in each class Total players = Class 1 players + Class 2 players + Class 3 players + Class 4 players Total players = 12 + 15 + 8 + 5 = 40 players

Step 2: Find the number of players in Class 2 and Class 3 Class 2 and 3 players = Class 2 players + Class 3 players Class 2 and 3 players = 15 + 8 = 23 players

Step 3: Calculate the probability The probability of an event is calculated by dividing the number of favorable outcomes by the total number of outcomes. In this case, the favorable outcome is the player being from Class 2 or Class 3, and the total outcomes is the total number of players.

Probability = Number of favorable outcomes / Total number of outcomes Probability = Class 2 and 3 players / Total players Probability = 23 / 40 = 0.575

So, the probability that the player selected for the interschool football match is either from Class 2 or Class 3 is 0.575 or 57.5%.

This problem has been solved

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