In a class there are 10 students who play football and cricket
7 who do not play football or cricket
14 students who play football
21 students who play cricket
find the probability that a student chosen at random plays football and cricket.

The probability that a student chosen at random plays football and cricket is 0.3125 or 31.25 %

Solution:

Given that,

In a class there are 10 students who play football and cricket

14 students who play football

21 students who play cricket

7 who do not play football or cricket

The venn diagram is attached below

From venn diagram attached below,

Find the total number of students

Total = 4 + 10 + 11 + 7 = 32

Thus total number of students are 32

Find the probability that a student chosen at random plays football and cricket:

From venn diagram,

See the intersection of football and cricket

10 play football and cricket

The probability is given as:

Therefore,

Thus the probability that a student chosen at random plays football and cricket is 0.3125 or 31.25 %

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