In a class there are
8 students who play football and cricket
4 students who do not play football or cricket
14 students who play football
20 students who play cricket
find the probability that a student chosen at random plays football or cricket or both

dont necessarily need an explanation but if you have a simple one i can understand then do tell me x

The probability that a student chosen at random plays football or cricket or both is .

We have

Number of students play football and cricket = 8

Number of students do not play football or cricket = 4

Total Number of students play football = 14

 Therefore, the number of students who play only football

= 14 - 8

= 6

Total Number of students play cricket = 20

Therefore, the number of students who play only cricket

= 20 - 8

= 12

So, the total number of students

= 8 + 4 + 6 + 12

= 30

Now, the probability that a student chosen at random plays football

The probability that a student chosen at random plays cricket

The probability a student chosen at random plays both football and cricket  

Therefore, the probability that a student chosen at random plays football or cricket or both

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the probability that a student chosen at random plays football or cricket or both =

Step-by-step explanation:

i) 8 students play football and cricket

ii) 4 students do not play football or cricket

iii) total of 14 students play football.

iv) therefore the number of students who play only football is = 14 - 8 = 6

v) total of 20 students play cricket.

vi) therefore the number of students who play only cricket is = 20 - 8 = 12

vii) therefore the total number of students = 8 + 4 + 6 + 12 = 30

viii) the probability a student chosen at random plays football =

ix) the probability a student chosen at random plays cricket =

x) the probability a student chosen at random plays both football and cricket =

xi) therefore the probability that a student chosen at random plays football or cricket or both =

the forst and 3rd

step-by-step explanation: