There are 200 students in the 7th class at Manchester Middle School. Of these students, 22% play football and 12% play baseball. Eight students play on both teams. What is the probability that a student plays either football or baseball?

30% 8 students is 4% of 200. So, ##22-4=18%## play only football, and ##12-4=8%## play only baseball, and 4% play both. So in total, ##18+4+8=30%## students play a sport (either one or two), so that’s the probability asked for.

What is the difference between independent events and dependent events?

Independent Events The probability of one event happening isn’t influenced by the outcome of another. In mathematical terms ## A,B ” events”, P(AnnB)=P(A)*P(B)## This reads: Probability of A and B happening is equal to the probability of A happening multiplied by the probability of B happening An equivalent definition ##P(A|B) = P(A)## This reads: The probability of A given B happened is equal the probability of A Example: Event A: Rolling a number larger than four on a die in the first roll Event B: Rolling a 6 on a die on the second roll. These events are independent because […]