Please answer this question.

1.. . In a survey of 500 students of a college, it was found that 49% liked watching football, 53% liked watching hockey and 62% liked watching basketball. Also, 27% liked watching football and hockey both, 29% liked watching basketball and hockey both and 28% liked watching football and basketball both. 5% liked watching none of these games.

a) Draw a Venn diagram to represent the survey results

b) How many students like watching all the three games?

2.. A test has three multiple choice questions that offer five possible answers.

a) Determine the probability that a student will get two out of three questions correct by guessing on all of them.

b) Determine the probability that a student will get one out of three questions correct by guessing on all of them.