A soccer team’s performance in a game depends on its performance in the last two games. If the team has lost both its previous games, it has 80% of losing this game. If it has won one of its two games and lost the other one, it has a 50% chance of winning this game. If it has won the last two games, then it is on a roll and it has a 90% chance of winning this game. Your job is to find out the probability of the soccer team winning its next game. You missed the last two games, so you do not know their outcome and hence you assume all outcomes are equally likely.

Exclude leap years from the following calculations. (a) compute the probability that a randomly selected person does not have a birthday on october 4. (type an integer or a decimal rounded to three decimal places as needed.) (b) compute the probability that a randomly selected person does not have a birthday on the 1st day of a month. (type an integer or a decimal rounded to three decimal places as needed.) (c) compute the probability that a randomly selected person does not have a birthday on the 30th day of a month. (type an integer or a decimal rounded to three decimal places as needed.) (d) compute the probability that a randomly selected person was not born in january. (type an integer or a decimal rounded to three decimal places as needed.)