Practice Problems for the Lander Math ContestModule 12, Problems (36-38)36) What is the number of outcomes for the lottery 4 +1? Youpick 4 out of 56 and 1 out of 46.37) There are 6 fair and 9 unfair (the probability of heads is70%) coins in the box. You pick a coin from the box, toss it 5times and get 4 heads. What is the probability unfair?38) In previous problem find the probability that the coin was39) Suppose your neighbor is worried that he might have arare disease. He decides to get tested, and suppose that thetesting methods for this disease are accurate 99 percent ofthe time (regardless of whether the results come backpositive or negative). Suppose this disease is actually quiterare, occurring randomly in the general population in only oneof every 10,000 people. If his test results come back positive, what are his chances ofactually having the disease?(c) .10, or