Question

In a class there are

10 students who play 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 a student chosen at random plays football and cricket.

Answer 1

Answer: 31.25%

Explanation:

Draw a Ven diagram in 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 do 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 a class total of 32. Then the % who play both F and C is = (10/32)*100 = 31.25%