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:
[tex]Probability = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}[/tex]
Therefore,
[tex]Probability(football\ and\ cricket) = \frac{10}{32} = 0.3125\ or\ 31.25\ \%[/tex]
Thus the probability that a student chosen at random plays football and cricket is 0.3125 or 31.25 %
