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

7 students who do not play football or cricket

14 students who play football

21 students who play cricket

Find the probability that the students chosen at random plays football and cricket

Draw a Ven diagram ie a rectangle with 2 circles one for F and the other for C the intersection overlap will have the 10 who play both outside the circles but within the rectangle the 7 who play neither so then fill the rest of F with 4 to give a total of 14 and 11 for the C to total 21. When you add all the numbers you'll get the class total of 32. Then the % who play both F and C is = (10/32) * 100 = 31.25%