Draw a tree diagram. Find each probability. 7. A softball game has an 80% chance of being canceled for a light drizzle and a 30% chance of being canceled for a heavy fog when there is no drizzle. There is a 70% chance of heavy fog and a 30% chance a) Find the probability that the game will be canceled. b) Find the probability there will be a light drizzle and the game will not be canceled.

An urn contains five white balls and six red balls. The second urn contains 8 white balls and four red balls. An urn is selected and a ball is randomly drawn from the selected urn. The probability of selecting the first urn is .75. If the ball is red, find the probability that the second urn was selected.

An urn contains 10 red marbles, 7 white marbles, and 8 blue marbles marbles. A child randomly selects three (without replacement) from the urn. Round to four decimal places. a. Find the probability all three marbles are the same color. b. Find the probability that none of the three marbles are white.

A family has 3 children. Assume that each child is as likely to be a boy as it to be a girl. Find the probability that the family has 3 girls if it is known the family has at least one girl.

a. Provide two independent events that you know the probability of.b. Explain how you know these events are independent.c. Find the probability that they both occur.  a. Provide two dependent events.b. Explain how you know these events are dependent.c. Explain why these dependent events might require a different method for calculating the probability of both events occurring.   Please number your responses to the questions as they are shown (1a, 1b, 1c, 2a, 2b, and 2c).